The sum of first 20 terms of 0.7, 0.77, ...

The sum of first 20 terms of 0.7, 0.77, 0.777,`"……….."`, is `:`

A

`( 7 )/( 9 ) ( 99 - 10^(-20))`

B

`( 7 )/( 81) ( 179+10^(-20))`

C

`( 7)/( 9) ( 99+ 10^(-20))`

D

`(7)/( 81) ( 179-10^(-20))`

Verified by Experts

The correct Answer is:

B

SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise MCQ ( Level-II)|77 Videos
RELATIONS
MODERN PUBLICATION|Exercise RCQS|6 Videos
SETS
MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series, 7,77,777,7777,"……….." to n tems.

Find the sum of first: a] 13 term of AP 2, 6, 10, 14, ..... b] 20 terms of AP -6, 0, 6, 12, ...... c] 15 term of AP 18, 16, 14, .........

Find the sum of first 20 terms of an AP whose nth term is a_(n) = 2-3n .

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

The sum of the first 8 terms of an A.P. is 100 and the sum of its first 19 terms is 551. Find the first term and the common difference of the AP.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

The sum of first 14 terms of an AP is 1505 and its first term is 10. Find its tenth term.

The sum of first 2n terms of an AP is alpha . and the sum of next n terms is beta, its common difference is

If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.