The value of 1- \(\frac{1}{20}+\frac1{20^2}-\frac1{20^3}\)+ .........

1.	The value of 1- \(\frac{1}{20}+\frac1{20^2}-\frac1{20^3}\)+ ......... correct to 5 places of decimal is(a) 1.05 (b) 0.95238 (c) 0.95239 (d) 10.5
Answer» (b) 0.95238 Given exp. = 1 - \(\frac{1}{20}+\frac1{20^2}-\frac1{20^3}\) + ............ = 1 - \(\frac{1}{20}+\frac1{400}-\frac1{8000}\) + ........... = 1 – 0.05 + 0.0025 – 0.000125 +....... = 1.0025 – 0.050125 = 0.952375 = 0.95238.

The value of 1- \(\frac{1}{20}+\frac1{20^2}-\frac1{20^3}\)+ ......... correct to 5 places of decimal is(a) 1.05 (b) 0.95238 (c) 0.95239 (d) 10.5

Answer»

(b) 0.95238

Given exp.
= 1 - \(\frac{1}{20}+\frac1{20^2}-\frac1{20^3}\) + ............

= 1 - \(\frac{1}{20}+\frac1{400}-\frac1{8000}\) + ...........

= 1 – 0.05 + 0.0025 – 0.000125 +.......

= 1.0025 – 0.050125 = 0.952375 = 0.95238.