65 861
Assignments Done
99,1%
Successfully Done
In October 2018

Answer to Question #5795 in Algebra for nitish bindal

Question #5795
1 -1/8 + 1.3/8.16 - 1.3.5/8.16.24 ...........
ans. 2/5^1/2
Expert's answer
Calculate.
Please show your work
1 - 1/8 + 1.3/8.16 - 1.3.5/8.16.24 ...........
ans. 2/5^1/2

1 - 1/8 + 1.3/8.16 - 1.3.5/8.16.24 ... =& 1 -& (1/2)(1/4) + (1.3/2!.2.2)(1/4)^2- (1.3.5/3!.2.2.2)(1/4)^3 + ... ,
which is of the form
1 - nx + [n.(n+1)/2!]x^2 - [n.(n+1)(n+2)/3!]x^3 ... ,
where n=1/2 and x=1/4, and
1 - nx + [n.(n+1)/2!]x^2 - [n.(n+1)(n+2)/3!]x^3 ... = (1+x)^(-n).
Therefore, 1 - 1/8 + 1.3/8.16 - 1.3.5/8.16.24 ... = (1+1/4)^(-1/2) = (5/2)^(-1/2) = (2/5)^(1/2).

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions