Question

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

Answer 1

Common Difference = -3

A = 11.

11 - 3K = -150

3K = 161

K has a fractional value.

Hence, it is not a multiple and hence is not a multiple of the series.

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Answer 2

D= -3

a=11

aₙ= -150

Hence putting in the equation

aₙ= a + (n-1)d

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

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

-161=(n-1)-3

$\frac{-161}{-3}$ ≠ a whole number

And n is always a whole number.

So, -150 is not a part of the given AP

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