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For all z, 3^(z)+3^(z)+3^(z) =...

For all `z, 3^(z)+3^(z)+3^(z)` =

A

`3^(z)+3`

B

`3^(z+1)`

C

`3^(z+3)`

D

`3^(3z)`

Text Solution

Verified by Experts

The correct Answer is:
B
The sum of three identical quantities is 3 times one of those quantities, so the sum of the three terms `3^(z)` is 3 times `3^(z)`.
`3^(z)+3^(z)+3^(z)=3(3^(z))=(3^(1))(3^(z))=3^(z+1)`
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