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). 6" (a) 5" (b) Σ %3D 3" n=2 3" (c) E 82n+1 %3D n=0 II

Q: 1" + 5" n=1

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

Q: Find the sum of the geometric series. 4 n = 1 5/7

A: Consider the given geometric series. Find the first term a, the common ratio r and the number of the…

Q: 11. Find the sum of each series. 5 10 8 a. (3+4i) b. i=3 c. (2i + 3) с. i=1

A:

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: Use the equation editor or submit a picture of your justification Find the sum of the infinite…

A: We have to find out the sum

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: 3 n=0 1 3" 2 5"

A:

Q: Find the first term a and the ratio r of each geometric series. Σ а. 3 k=2 3 k=0

A: To Determine: find the first term a and the ratio r of each geometric series. Given: we have a)…

Q: 00 п m=0

A:

Q: Find the first term of the infinite geometric series. S = 54, r = a1 1/2

A:

Q: s, e -0.4 is

A:

Q: (1) Using your knowledge of the Maclaurin series of the exponential function, find the Maclaurin…

A: i) Given that, fx=e-3x3 To find: Maclaurin series of e-3x3 Maclaurin series of exponential is…

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

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: 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:

Q: 6. Consider the series 5 + 6a Find the common ratio, r. 1 r = 3 6b Find the sum of the first 9…

A: Given, Series, 5+ 5/3 + 5/9 +... Therefore it is of the form,  Σ 5*(1/3n)  The equation has a common…

Q: 00 Inn Approximate the sum of the alternating series2(-1)" 27n accurate to four decimal places. n=2

A: Given ∑n=2∞-1nln n27n4 Let Un=ln n27n4  and Un+1=ln (n+1)27n+14   When n=2 Un+1 <  Un

Q: Find a, and d for the following arithmetic series. S16- 360, a16 = 45 ay =

A: We will use the arithmetic series formula

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: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…