Question

ex 5.2 class 10 Q6 AP​

Answer 1

Answer:

Step-by-step explanation- the question is- check whether -150 is a term of ap:11,8,5,2....

Answer-

Here a1=11, a2=8, a3=5, a4=2

Common difference= a2-a1= 8-11= -3

Therefore common difference(d) = -3

Let -150 be the nth term of the given ap.

Therefore an=-150

Or a+(n-1)d=-150

Or 11+(n-1)×(-3)=-150

Or (n-1)×(-3)=-150-11

Or (n-1)×(-3)= -161

Or n-1=-161/-3

Therefore n=161/3+1

= 161+3/3

=169/3

Since number of terms (n) cannot be in fraction.

Therefore -150 is not a term of the ap:11,8,5,2.....

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