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Q.

Is it true that 144 is a term of the AP: 3,7,11,..?


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a

True

b

False 

answer is B.

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Detailed Solution

The given AP is 3,7,11,..
The first term is a=3  .
The common difference in the given series is  d=7-3=4.
If we add the first term and the common difference, we get the second term.
Here, the first term is odd and the common difference is even. Thus, the sum of odd and even must be an odd number.
But the given number 144 is an even number, which cannot be possible.
So, the statement that 144 is a term of the AP: 3,7,11,.. is false.
Therefore, 144 cannot be the term of the given series.
Therefore, the correct answer is option (2).
 
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