Question
Asked Nov 26, 2019
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The series below is an alternating series that converges. Calculate the sum of the first 4 terms, S4, and find a bound for
the error. Round both answers to three decimals but don't round until the end.
1)"200
n0.7
[A] S4
[B] lerror
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The series below is an alternating series that converges. Calculate the sum of the first 4 terms, S4, and find a bound for the error. Round both answers to three decimals but don't round until the end. 1)"200 n0.7 [A] S4 [B] lerror

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Expert Answer

Step 1

Given:

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s=-)200 0.7 n n-1

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Step 2

Calculate part (a):

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.(-1) 200 Let S 0.7 n -1)200 (-1) 200 (-1) 200 (-1) 200 (2)" 0.7 (3) O.7 (4) 1 Si 200 1 1 1 (1) (2) (3) (4) S 20010.615 - 0.463 + 0.379] 0.7 0.7 0.7 S 200 x-0.469 S -93.8

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Step 3

Calculate part (b)

Error bound of alte...

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IS - Slap-S (-1)" 200 Where a 0.7 п 2 -1) 200 (n+1) 0.7 la,/=-1)' 20 (5)% 0.7 200 la,= (5)97 as1=|-64.826| a=64.826 0.

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