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

Q: Find the sum of the infinite geometric series.

A: 1+13+19+127+.......... first find common ratio of given series  common ratio r=13<1 The sum of an…

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: 00 1 12. Write telescoping series and find its sum. as a п (п — 1) n=3

A: Given, ∑n=3∞1n(n-1)

Q: The sum of the geometric series 2 7(0.7 )n is n=0

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Q: Evaluate the geometric series and compute the sum if convergent. ∞0 i-1 Σ48 · (9)'' i=1

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Q: find the sum of the infinite geometric series if possible a) 1 - 1 = ²2 + 14 - 1²/2² +.... b) ²/5 +…

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Q: 2. (a) Write the repeated decimal as a geometric series in summation notation and then use your…

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Q: The infinite geometric series represented by –5.8 + 12.18 – 25.578 + 53.7138... converges

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Q: Consider the geometric series with a=7 and r=0.65. Write the first 4 terms and find the limiting…

A: Solution:- nth term of gp = a.rn-1

Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

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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: 9 E-2 ·(-2)"-1 n=1

A: ∑n=19-2·-2n-1

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

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Q: 33. Find the sum of the first 7 terms of the geometric series 0.25 + 0.75 + 2.25 + ... А. 91 В.…

A: 0.25,0.75, 2.25, ... is a GP with a common ratio r= 3

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 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: 1. What's an infinite series that can "sum" to 1?

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

A: Given: The geometric series ∑k=0∞3-π-k, To evaluate: The given series if it is convergent.

Q: Find the sum of the infinite geometric series: 3 + 2 + 4/3+ 8/9+ ...........

A: Consider the given series 3+2+43+89+......

Q: 9. a) Is the following a geometric series??? Why? b) If it is, determine if it is convergent or…

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Q: An Write the general formula for following alternating series in the form > n=1 10 10 10 + 9. 10…

A: Given that: 108-109+1010-1011+⋯ =10(18-19+110-111+⋯) =∑n=0∞-1n108+n   where an=(-1)n108+n

Q: An alternating series is one whose terms alternate between even and odd.

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Q: Find the sum of a finite geometric series Question Which of the following is the correct formula to…

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Q: . Evaluate the geometric series. Est-1 k=1 7. Evaluate the geometric series. a1 = -4, a10 2048, r =…

A: Solving

Q: 36. Find the sum of the following infinite geometric series. A. Does not exist B. 3 C. Σ(3) k=1 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: 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: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

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Q: ind the sum of the infinite geometric series or show that the sum does not exist: 9 + 3+1++....

A: We know that sum of infinite geometric series with 1st term 'a' and common ratio 'r' is given by…

Q: For which numbers ?does the geometric series converge? b. To what does the above series converge,…

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Q: help picture below

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Q: Question Which of the following is the correct formula for the sum of the finite geometric series…

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Q: 4. Find the sum of the geometric series 3-3/2+3/4-3/8+3/16 - ..

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Q: 10 is %3D The sum of an arithmetic series where a = -5, d= , and n = A) -50.8 B) 40 C) 50.8 D) -41

A: Here a=-5 and d=15 and n=10

Q: Find the sum of the infinite geometric series.

A: To find: The sum of the infinite series ∑i=1∞12-0.7i-1. Concept used: The sum of infinite geometric…

Q: 20. Find the sum, if it exists, of the infinite geometric series S =1+++ +.... O S= 3 OS= 2 O The…

A: Common ratio(r)  is obtained by the ratio of second term to the first term of the GP

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

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

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Q: Evaluate the geometric series or state that it diverges. 1 + (1)/(π) + (1)/(π2) + (1)/(π3) + ⋅ ⋅ ⋅

A: The geometric series ∑n=0∞arn  is divergent if r≥1

Q: Find the sum of the infinite geometric​ series, if it exists.   −12−4−4/3−4/9−

A: Explanation of the solution is given below...

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: 14. Decide if each infinite geometric series is convergent or divergent. State the sum of the…

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Q: 2. a) Find the sum the series n=1

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Q: Question Which of the following is the correct formula for the sum of the finite geometric series…

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Q: 4. The first three terms of a geometric series are 2x, x-8 and 2x+5 respectively. Find the possible…

A: →Let a0 , a1 , a2 are in GP , then          a1  a0 =  a2a1 →Roots of quadratic equation ax2 + bx +c…

Q: What is the general expression for the ?th term of the series -4/3+9/5-16/7+25/9-36/11

A: The given series:-43+95-167+259-3611+...We need write the general expression for the nth term of the…