If in an infinite G.P., first term is eq...

If in an infinite G.P., first term is equal to 10 times the sum of all successive terms then its common ratio is `1//10` b. `1//11` c. `1//9` d. `1//20`

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Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

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Knowledge Check

If the sum of first two terms of an infinite G.P is 1 and every term is twice the sum of all the successive terms then its first term is

A

`1/3`

B

`2/3`

C

`3/4`

D

`1/4`

If the first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the sum of the series is

A

2

B

`(5)/(2)`

C

`(7)/(2)`

D

`(3)/(2)`

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