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{:("If",a = 1 + 2 + 4 + ..."to n terms")...

`{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):}`
then `|(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=`

A

`(30)^(n)`

B

`(10)^(n)`

C

`0`

D

`2^(n)+3^(n)+5^(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` a=2^(n)-1`, `b=(3^(n-1))/(2)`, `c=(5^(n)-1)/(4)`
`:.Delta=|{:(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n)):}|`
`Delta=2*|{:(2^(n)-1,3^(n)-1,5^(n)-1),(1,1,1),(2^(n),3^(n),5^(n)):}|=0`
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