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If 100 times the 100^(t h) term of an ...

If 100 times the `100^(t h)` term of an AP with non zero common difference equals the 50 times its `50^(t h)` term, then the `150^(t h)` term of this AP is (1) ` 150` (2) 150 times its `50^(t h)` term (3) 150 (4) zero

A

`-150`

B

150 times its 50 th term

C

150

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
D
Given 100(a+99d)=50(a+49d)
`therefore` 2a+198d=a+49d
`therefore` a+149d=0
`therefore T_(150)=a+149d=0`
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