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The first term of a sequence is 1, the s...

The first term of a sequence is 1, the second is 2 and every term is the sum of the two preceding terms.The `n^(th)` term is.

A

`(1)/(2^(n+1) sqrt(5)) [( 1+ sqrt(5))^(n+1) + (1-sqrt(5))^(n+1)]`

B

`(1)/(2^(n+1) sqrt(5)) [( 1+ sqrt(5))^(n+1) - (1-sqrt(5))^(n+1)]`

C

`(1)/(2^(n+1) sqrt(5)) [( 1 - sqrt(5))^(n+1) + (1 - sqrt(5))^(n-1)]`

D

`(1)/(2^(n+1) sqrt(5)) [( 1+ sqrt(5))^(n-1) + (1-sqrt(5))^(n-1)]`

Text Solution

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The correct Answer is:
2
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