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For all n inN,3*5^(2n+1)+2^(3n+1) is div...

For all n `inN,3*5^(2n+1)+2^(3n+1)` is divisible by (A) 19 (B) 17 (C) 23 (D) 25

A

19

B

17

C

23

D

25

Text Solution

Verified by Experts

The correct Answer is:
B, C
Given that `3*5^(2n+1)+2^(3n+1)`
For n=1,
`3*5^(2(1)+1)+2^(3(1)+1`
`=3*5^(3)+2^(4)`
`=3xx125+16=375+16=391`
Now, `391=17xx23`
which is divisible by both 17 and 23.
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