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Consider the sequence 1,2,2,4,4,4,4,8,8,...

Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th terms will be (a)`2^9` b. `2^(11)` c. `2^(10)` d. `2^(12)`

A

`2^9`

B

`2^11`

C

`2^(10)`

D

`2^(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the 1025th term fallis in the nth group. Then
`1+2+4+..+2^(n-1)lt1025le1+2+4+…+2^(n)`
`rArr2^(n)lt1026le2^(n+1)`
`rArrn=10`
Hence, 1025th term is `2^(10)`.
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