Question

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

Answer 1

Here,a=11,d=8−11=−3

Let −150 be the nth term of the given A.P.

We know that,a

n

=a+(n−1)d

−150=11+(n−1)×−3

−150=11−3n+3

(−150)+(−14)=−3n

−3n=−164

3n=164

n=

3

164

So,it is clear that n is not an integer.

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Therefore,−150 is not a term of the given A.P.

Answer 2

Answer:

n = 54.6

Step-by-step explanation:

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

164 = 3n

164/3 = n

54.6 = n

•°• n = 54.6

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•°• -150 is not a term in the given AP.