The following series are geometric series or a sum of two geometric series. Determine whether each series converges or not. For the series which converge, enter the sum of the series. For the series which diverges enter "DIV" (without quotes). 00 6" (a) E 5" n=1 1 (b) 3" n=2 00 3" 82n+1 n=0

Q: of the following find the series : Sum

A: ∑n=1∞(14n + 1n2-1) putting n = 114 + 10⇒ 10 is not defined.

Q: Which of the following are geometric series? 2" 29" n=0 2(2n)" n=0 2 n5 n=0 n² 3" n=0 WI ¿W! :W? 8WI

A:

Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common…

Q: Use the properties of infinite series and the fact that Σ 1 1. 1 and 4 5" n = 1 6' n = 1 5 to find…

A:

Q: 33. Find the sum of the following arithmetic series. Σ(8i +3) i=1 A. 726 B. 4,587 C. 561 D. 2,538

A:

Q: 1" + 5" n=1

A: Break the sum into two parts than use the formula for sum of infinite geometric series.

Q: Determine the sum of the following series. (- 4)"-1 7" n=1

A:

Q: Determine the sum of the following series. (– 4)" -1 8" n=1

A:

Q: 35, (.5n + 307) n=1

A: ∑n=135 (0.5n+307)=∑n=135 0.5n+∑n=135 307  =0.5∑n=135 n+307∑n=135 1

Q: Σ, 6 what is the value of the series

A: Sum of the infinite terms of geometric series whose first term is  'a' and common ratio is 'r' is…

Q: Given a geometric series with t4=6 and t6=24, determine the value of s5. Leave your final answer as…

A: nth term of the geometric series ,

Q: Consider the following series. 1+4" 6" IM

A: Given series is

Q: 8図 n=1 -1

A: To find the sum and if the series is convergent or divergent.

Q: 00 For an as follows, write the sum as a geometric series of the form > ar". State whether the…

A: Solution: The objective is to find the sum of the series

Q: Find the sum of each of the following series.

A:

Q: Find the sum of the first 18 terms of a geometric series if the first term is 1 and r= 2.

A:

Q: Determine the sum of the following series. 2" + 9" 12" n=1

A: for this question we use the formula to find the sum of geometric series S=first term /(1-common…

Q: Find as for the given geometric series. Sz=89080, r = 2.8, n = 8 O 11125.20 1851.46 O 89.57 O42.45

A: