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Question

Which term of the sequence 1,3,7,11,.... is 95?

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Solution

Clearly, the given sequence is an A.P. such that

a=First term =1 and, d= Common difference =4

Let 95 be the nth term of the given A.P. Then,
an=95

a+(n1)d=95

1+(n1)×4=95

1+4n4=95

4n5=95n=25
Thus, 95 is 25th term of the given sequence.

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