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Question

Find n if the given value of x is the nth term of the given A.P.
1,3,5,7,....;x=151

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Solution

Given sequence is 1,3,5,7,...

The first term a=1 and

the common difference d=3(1)=2

Given that the nth term is 151

We know that the nth term of the arithmetic progression is given by a+(n1)d

Therefore, a+(n1)d=151

1+(n1)(2)=151

1+22n=151

12n=151

2n=152

n=1522

n=76

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