Question

Find wheather -150 is a term of the Ap 17,12,7,2,.....?

Answer 1

a=17

d=12-17=-5

an= a+(n-1)d

-150=17+(n-1)-5

-150-17÷-5=(n-1)

-167÷5+1=n

n=34.3

Step-by-step explanation:

-150 is not a term of an Ap

Answer 2

Answer:

Step-by-step explanation:

nth term of an AP = a + (n - 1)*d

Here the nth term we are looking for is -150. If n comes as an integer, then -150is a term in the series, else it is not a term of the series.

a = 1sr term = 17 and d = 12 - 17 = -5

Therefore -150 = 17 + (n-1) * -5

-150 + 17 = (n - 1) * -5

-133 = (n - 1) * -5

Therefore n - 1 = 133/5 = 26.6

n = 27.6, which is not an integer.

Therefore -150 is not a term of the series