Recent questions tagged series - MathsGee Q&A

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Evaluate \( \sum_{k=7}^{17}(-2 k+14) \)

asked Nov 13 in Mathematics by MathsGee Platinum (101k points) | 25 views

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1 answer

What is a p-value?

asked Oct 11 in Data Science & Statistics by MathsGee Platinum (101k points) | 93 views

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Natural logarithm and Napierian logarithm: Are they the same thing?

asked Oct 10 in Mathematics by MathsGee Platinum (101k points) | 26 views

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Evaluate \(9^{\frac{ 150}{300}}\)

asked Jul 16 in Mathematics by Edzai-Zvobwo Bronze Status (5.7k points) | 106 views

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How do I run a time series analysis in SPSS?

asked Apr 13 in Data Science & Statistics by Maths-Genie Bronze Status (8.8k points) | 316 views

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What is geometric thinking ?

asked Feb 6 in Mathematics by AstraNova Diamond (58.4k points) | 202 views

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Who introduced the idea of an infinite series?

asked Feb 6 in Mathematics by AstraNova Diamond (58.4k points) | 184 views

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Is topological invariance the same as time invariance?

asked Feb 2 in Mathematics by AstraNova Diamond (58.4k points) | 195 views

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What are some alternative methods for testing causality in time series data?

asked Feb 2 in Data Science & Statistics by AstraNova Diamond (58.4k points) | 207 views

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What is the criterion for deciding if one time series Granger causes another?

asked Feb 2 in Data Science & Statistics by AstraNova Diamond (58.4k points) | 263 views

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Given \(h(x)=-3^x-1\). Determine the coordinates of the y-intercept of \(h\).

asked Jan 30 in Mathematics by AstraNova Diamond (58.4k points) | 141 views

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\(8 ; 24 ; 72 ; \ldots \ldots\)

asked Jan 30 in Mathematics by AstraNova Diamond (58.4k points) | 106 views

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Given the number pattern \(50 ; 47 ; 44\);

asked Jan 30 in Mathematics by AstraNova Diamond (58.4k points) | 142 views

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What is a Maclaurin series?

asked Jan 27 in Mathematics by AstraNova Diamond (58.4k points) | 215 views

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What is a Taylor series?

asked Jan 27 in Mathematics by AstraNova Diamond (58.4k points) | 223 views

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What is a Fourier series?

asked Jan 27 in Mathematics by AstraNova Diamond (58.4k points) | 196 views

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What is the Taylor series expansion of $e^x$ around $x = 0$?

asked Jan 27 in Mathematics by AstraNova Diamond (58.4k points) | 237 views

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1 answer

Expand each of the following:

asked Jan 24 in Mathematics by AstraNova Diamond (58.4k points) | 110 views

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What is the greatest value of \(p\) for which the series \(\sum_{k=1}^p 10(3)^{k-1}<2300\) ?

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 213 views

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The sum of a geometric series is 364 of which the first term is 243 and the last term is 1 . Determine the constant ratio of the series.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 277 views

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Calculate the difference between \(S_{\infty}\) and \(S_7\) of \(4+\frac{4}{3}+\frac{4}{9}+\ldots\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 203 views

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Calculate \(n\) if \(\quad \sum_{k=1}^n(3 k+1)=650\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 189 views

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1 answer

Write each of the following series in sigma notation:

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 205 views

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In a geometric sequence, the second term is \(-\frac{2}{3}\) and the sum to infinity of the sequence is \(\frac{3}{5}\). Find the sequence.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 165 views

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The first term of a geometric series is 124 . The sum to infinity is 64 . Find the common ratio.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 277 views

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Find the sum of each of the following infinite geometric series:

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 176 views

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A convergent geometric series has a second term of 8 and a sum to infinity of 36 . Determine the possible constant ratio(s).

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 204 views

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Consider the infinite geometric series \(p+p(p+1)+p(p+1)^2+\ldots\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 175 views

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Calculate: \(\quad \sum_{n=1}^{\infty} 2.10^{1-n} \quad\) (if it exists)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 252 views

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The sum of the first 4 terms of a geometric series is 15 and the sum of the next 4 terms is 240 . Determine the positive constant ratio.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 185 views

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If \(\mathrm{T}_3=\frac{15}{16}, \mathrm{~T}_6=\frac{5}{18}\) and the last term is \(\frac{40}{729}\), find the number of terms in the sequence if the sequence is geometric.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 173 views

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Given is the series \(1+2+3+4+5+\ldots .+n\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 201 views

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The sum of the first 10 terms of an arithmetic series is 145 and the sum of its fourth and ninth term is five times the third term. Determine the first term and constant difference.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 331 views

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The first term and the last term of an arithmetic series is 5 and 61 respectively while the sum of all the terms is 957 . Determine the number of terms in the series.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 300 views

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If \(T_7=-4\) and \(S_{16}=24\) of an arithmetic series, determine the first term and the constant difference of the series.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 217 views

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1 answer

The constant ratio of a geometric series is \(-2 \frac{1}{2}\). The sum of the first four terms is \(17 \frac{2}{5}\). Calculate the first term.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 188 views

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The sum of the first 12 terms of an arithmetic series is 96 . The 3rd and 6th terms add up to 12 . Determine the first term and the common difference.

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 221 views

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What is the least value of \(p\) for which the series \(\sum_{k=1}^p \frac{1}{16}(2)^{k-2}>31\) ?

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 139 views

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1 answer

Determine \(n\) if: \(3+6+12+\ldots\) (to \(n\) terms) \(=765\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 196 views

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How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 124 views

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How many terms of the geometric sequence \(64 ; 32 ; 16 ; \ldots\) will add up to \(127 \frac{1}{2}\) ?

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 151 views

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Calculate \(\sum_{i=0}^{10} 3^{4-i}\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 138 views

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Calculate \(\sum_{k=1}^{10} \frac{1}{50}(5)^{k-1}\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 93 views

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Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 106 views

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How many terms are there in the series \(-64-32-16-\ldots .-\frac{1}{32}\). What is the sum of the series?

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 188 views

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Determine the sum of each geometric series (use an appropriate formula):

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 166 views

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1 answer

Determine \(m: \quad \sum_{k=2}^m \frac{1}{15}(3)^{k-1}=24 \frac{1}{5}\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 123 views

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1 answer

How many terms of the geometric sequence \(-1 ; 2 ;-4 ; 8 ; \ldots\). will add up to \(349525 ?\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 165 views

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1 answer

Calculate the sum of the following finite series \(0,25+0,5+1+2+\ldots .+256\).

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 206 views

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1 answer

Find the sum of the first 12 terms of the series \(\frac{2}{3}+2+6+\ldots\)

asked Jan 21 in Mathematics by MathsGee Platinum (101k points) | 142 views

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Recent questions tagged series