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Is -150 a term of the AP 11, 8, 5, 2, .....?

Question

Is $- 150$ a term of the AP $11, 8, 5, 2, ..... ?$

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Eleanor Discussed

- 150

a term of the AP

11, 8, 5, 2, ..... ?

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Given AP is AP

11, 8, 5, 2, ....

Hee

a = 11, d = 8 - 11 = - 3

Let

- 150

be the nth term of the AP

a_{n} = a + (n - 1) d

- 150 = 11 + (n - 1) (- 3)

n = 164/3

Which is a fraction.

Therefore,

- 150

is not a term of the given AP.

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