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

Q: 2√5+10+10√5....31250 determine the sum of the geometric series

A: SOLUTION-

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 first 10 terms of the following sequence. Round to the nearest hundredth if…

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Q: Identify which geometric series converge. Give the sum of convergent series.

A: The general form of a geometric series is a+ar+ar2+ar3+...... , where a is  the initial term and r…

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: Find the sum of the infinite geometric series below 2+1+1/2+1/4+1/8+1/16+...

A: We have to find the sum of infinite gp.

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

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Q: 4. Rewrite the given infinite (repeated) decimal as an infinite series. By summing a geometric…

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Q: Write an equivalent series with the index of summation beginning at n = 1.

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

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

A: SOLUTION-

Q: 5. Consider the geometric series (3x )" , determine for what values of x does the series n=0…

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Q: Find the sum of the infinite geometric series.

A: Given geometric series is, 3-1+13-19+.....

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

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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 this infinite geometric series, if it exists. 7 21 63 189 8 16 32 64 -1.75 7.1 7.2

A: Solution : Consider the given infinite geometric series is 78+2116+6332+18964+... The first term 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

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Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: Find the sum of the infinite geometric series.

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Q: Determine whether the geometric series is convergent or divergent. 25 (3 – 5 + 125 + 9. ··) ..

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

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

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Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

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

A: We have to find sum

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+.....

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Q: Find the sum of the infinite geometric series.

A: For | r | <1 S∞=a11-r

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

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Q: 3. Find the sum of the following geometric series or state that it diverges. 9 10 n=1

A: We have to find sum

Q: Astudent argues that (-1)" /n is an alternating series and therefore converges. Is the student…

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Q: 2. Which of the following infinite geometric sequences will have a related convergent series? O {16,…

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Q: For each of the finite geometric series given below, indicate the number of terms in the sum and…

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Q: 19. Find the sum of the infinite geometric series. 100 10 + 3 - 1 + 10 -- 3

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

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

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

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Q: Determine whether or not the infinite series below converges.

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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: Determine the sum, if it exists, of the series. m+1 3 10 10 11 m.

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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…

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Q: What is the sum of the infinite series 1 "n=1 102m ?

A: Sum of the infinite geometric series , S =a1-r ; where , a-first term and r<1 is common ratio .

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

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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

Q: What is the sum of the infinite series "n =1 102" ? Show your work

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

A: Sum of finite geometric series =a(1-r^n)/1-r When r<1.

Q: Find the sum of the first 10 terms of the geometric series. aд 3 3, r %3D — 2, п %3D 10 n =

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