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1- 8x + 72(-1) (k + 7)! k! k=2

1- 8x + 72(-1) (k + 7)! k! k=2

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 13PT: Use the formula for the sum of the first n terms of a geometric series to find k=170.2(5)k1 .
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Use the formula for the binomial series: (1 + x)" : 1+ mx + m(m-1) 2 m(m-1).-(1n-k+1)k +. + ... ... 2! k! 1+ 2=1 o m(in-1).(m-k+1) k if 1지 < 1 k! to obtain the Maclaurin series for (1 + x)8* 1- 8x + 9! k=2 (-1)*+1 (k + 7)! k! (k + 7)! 1+ 8x + >, k! 00 k=2 00 (k + 8)! 1+ 8! k=1 k! 1– 8r + E(-1)*(k + 9)! 7! k=2 k! (k + 7)! 1- 8x + 7! k=2 k!
Transcribed Image Text:Use the formula for the binomial series: (1 + x)" : 1+ mx + m(m-1) 2 m(m-1).-(1n-k+1)k +. + ... ... 2! k! 1+ 2=1 o m(in-1).(m-k+1) k if 1지 < 1 k! to obtain the Maclaurin series for (1 + x)8* 1- 8x + 9! k=2 (-1)*+1 (k + 7)! k! (k + 7)! 1+ 8x + >, k! 00 k=2 00 (k + 8)! 1+ 8! k=1 k! 1– 8r + E(-1)*(k + 9)! 7! k=2 k! (k + 7)! 1- 8x + 7! k=2 k!
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