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: 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: Eind. the. puse..

A: power series

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

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Q: 3. What type of series is S = 5 +5+5+5+ 5? c. harmonic a. arithmetic b. geometric d. all of the…

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Q: k a - dx ó b-cx" using the first four terms of the series if a - 11, b= 4, c = 11, k = 0.29, and n =…

A: To solve the integral use any of the numerical methods. For that first substitute the values 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

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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: Approximate using the first four terms of the series if a = 19,  b = 5, c = 8, k = 0.26, and n = 4

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Q: k j sinax“ Jtx using the first five terms of the series if a = 10, k = 0.76, and n = 3.

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Q: Evaluate the following series. Your final answer should be a number. 2" + 4(-1)"+1 5n (a) Э

A:

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: E(-3)(3)*-1 %3D

A: The geometric series is given by ∑k=18-33k-1 To evaluate : The sum of the geometric series.

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 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: 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: Find the sum of the series. 00 5n Σ 9"n! n = 0

A: we know  ex = 1+ x/1! + x2/2! +.....

Q: п/4 S tan " (x)d . Determine a series which represents -1

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: Suppose that an = 5 and b, =1 and a =7 and b, = -9, find the sum of the series: n=1 n=1 A. (-5a, +…

A:

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

A: We will use the arithmetic series formula