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Which term of the sequence –1, 3, 7, 11, ….. , is 95 ? - Mathematics

Sum

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

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Solution

Clearly, the given sequence is an A.P.

We have,

a = first term = –1 and, d = Common difference = 4.

Let 95 be the nth term of the given A.P. then,

an = 95

⇒ a + (n – 1) d = 95

⇒ – 1 + (n – 1) × 4 = 95

⇒ – 1 + 4n – 4 = 95 ⇒ 4n – 5 = 95

⇒ 4n = 100 ⇒ n = 25

Thus, 95 is 25th term of the given sequence

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