Q. 84.2( 32 Votes )

# 11, 8, 5, 2, . . . In this A.P. which term is number – 151?

Answer :

By, given A.P. 11, 8, 5, 2, . . .

we know that

a = 11, t_{1} = 8, t_{2} = 5

Thus, d = t_{2} – t_{1} = 5 – 8 = – 3

Given: t_{n} = – 151

Now, By using n^{th} term of an A.P. formula

t_{n} = a + (n – 1)d

we can find value of “n”

Thus, on substituting all the value in formula we get,

– 151 = 11 + (n – 1)× ( – 3)

⇒ – 151 – 11 = (n – 1)× ( – 3)

⇒ – 162 = (n – 1) × ( – 3)

⇒ n = 54 + 1 = 55

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