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Question

Is āˆ’150 a term of the A.P : 11,8,5,2 ?

A
No
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B
Yes
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C
Data Insufficient
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D
Can't say
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Solution

The correct option is B No
Clearly the given sequence is an AP with first term a=11 and the common difference d=811=3.

Let 150 be the nth term of given AP. Then,
an=150tn=a+(n1)d=150
11+(n1)×3=150
(n1)×3=161
n1=1613
n=1613+1=1643
Clearly n is not an natural number, Hence, 150 is not a term of given AP.

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