Question

check whether -150 is a term of the AP:11,8,5,2..

Answer 1

a = 11

d = (-3)

an = (-150)

an = a + (n -1)d

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

-150 = 11 - 3n + 3

-150 = 14 - 3n

- 150 - 14 = -3n

-164 = -3n

3n = 164

n = 164 / 3

As n is not an integer

Hence

(-150) is not a term of this AP.

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Answer 2

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