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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

A

-150

B

150 times its 50th term

C

150

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
d
According to the given condition ,
`100 xx T_(100)= 50 xx T_(50)`
`rArr 100 (a+ 99d) = 50 (a+49d)`
`rArr 2(a+99d)= (a +49d)`
` rArr a+149d=0`
`rArr T_(150)=0`
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