13. Find the sum of the infinite geometric series, if possible: 1 (a) 1+ 6. 1 +... 216 ( b) 2+8+32 + 128 +... 36

Q: Evaluate the sum of the infinite series 2 S = 2 – + 3 9 2 + 27

A: Given sequence  Take 2 common  Then the sequence becomes GP with  a = 1 and r = -1/3 Sum of infinite…

Q: Find the sum of the given infinite geometric series described as 3 +2++

A: Given series,  3+2+43+89, which is finite series.

Q: కాంతవాలి కె సగవడాడి Find the sum of the finite geometric series 3+31/2+1+3-1/2 +. . . + 3-21

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Q: 8. Find the sum of the infinite geometric series below: 3 (a) 3 + 4 3 +... 42 (b) 3-1+- 3 9

A: Sum of infinite terms of GP where a is the first term and r such that -1<r<1 is the common…

Q: Find the sum of the first 10 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: Find the sum of the arithmetic series in w 3, and n = 20.

A:

Q: What is the sum of the following infinite geometric series? 0.2+0.02+0.002+ ... A 2 -/- -1/- /5

A: SOLUTION-

Q: Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

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Q: Find the sum of the geometric series 26. (0.9)"-1

A: Given,             ∑n=1∞6·0.9n-1

Q: Find the sum of infinite geometric series: 3 + 3/4 + 3/42 + 3/43 + ......

A: If a+ar+ar2+ar3+..... is an infinite geometric series with common ratio r and r<1. Then, sum of…

Q: Find the sum of the infinite geometric series if it exists.

A: We have to find the sum of infinite geometric series: 2-2+8-4+.... We know that if we have infinite…

Q: What is the sum of the geometric series 4 2,341 256 525 64 2,343 256 3,069 256

A: To find: Sum of the series

Q: 14. 1+5+9+...+ 157

A:

Q: Find the sum of the first 6 terms of the given geometric series: -2-4-8-16.. O -146 -139 O 2 O -126

A:

Q: Find the sum of the following infinite geometric series, or state that it is not possible. 31 k 8

A: Given: The series is ∑k=1∞8-34k To find the sum of the given infinite geometric series. The…

Q: Use the definition of a geometric series to rewrite the following series -1 10 1. 3-

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Q: What is the sum of the infinite series defined by 2 + 2 2. + .. 27 9. 122 27 80 27 O 3 2 O O O O

A:

Q: Determine whether the statement, 'The sum of the geometric series 1/2 + 1/4 + 1/8 + ..... + 1/512…

A: Given: Geometric series is 12+14+18+⋯⋯+1512 Here, first term is a=12 Common ratio, r=1412=12 We know…

Q: 3. Determine the sum of the first ten terms of the geometric series: -2+4-8+...

A:

Q: Find the sum of the given finite geometric series. 1 1- 3 * 1 1 + ... + 27 1 9. 6561

A: From the given geometric series we can see that first term of G.P. is 1 common ratio is -1/3 We have…

Q: 10 -4)(-2)*-:

A: We have to find sum

Q: Evaluate the geometric series or state that it diverges.

A: Given: S=∑k=1∞3-183k for evaluating given summation, first we expand it so,…

Q: Find the sum of the first 8 terms of the geometric series: 1-3+9 – 27..

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Q: find the sum if it exists of the infinite geometric series S=1+3/4+9/16+27/64+.....

A:

Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (-27) + (–32) +...…

A: For a arithmatic sequence with first term =a, common difference=dthen sum of  first n terms of the…

Q: Find the sum of the finite geometric series by using the formula for Sn 16 32

A:

Q: Determine the number of terms in the geometric series where g - 2 S - 62 andr - 5 (2 nointe)

A: The sum S of n terms of geometric series is given by : Sn=a(1-rn)(1-r).

Q: Find the sum of the 3rd through 14th terms of the series. A (n) = 4(3)"-1 Sum

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Q: Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if…

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Q: Evaluate the Geometric Series or state that it diverges.

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Q: (a) Find the sum of the finite geometric series: 2 + 6+ 18 + ..+ 13, 122

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Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: 1 1 16. 6 12 24 1 1 384

A:

Q: Find the sum of the first 10 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: Find the sum of the following finite geometric series. į 10(-3)' 8. È 10(-) 2. k=1 Round your answer…

A:

Q: Which of the following is the correct formula for the sum of the finite geometric series below? 3 3…

A: The given series is 3+34+316+...+3417

Q: Compute the sum of the infinite series 32 15 15 16 16 12 O None of the others

A:

Q: Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if…

A: Given: 30, -120, 480

Q: Find the sum of the first 7 terms of the geometric series. 4, 12, 36, 108,.. 324 160 1093 4372

A: Given : The geometric series 4, 12, 36, 108, ...   To find the sum of the first 7 terms of the…

Q: Find the sum of the first 7 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Find the sum of the following finite geometric series. 8 k 10(-) 3 k=1 Round your answer to the…

A: We have to find the sum of given geometric series: ∑k=1810-23k Since there won't be any effect of k…

Q: Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: Write the general formula for following alternating series in the form 3 3 3 10 11 12 13

A: we have to find general formula for series