Question

find wether -150is aterm of ap 17,12,7,2...

Answer 1

Answer:  No, -150 is not a term of above A.P.

Step-by-step explanation:

Since we have an arithmetic progression series:

$17,12,7,2.......$

Here, a= first term = 17

d = common difference is given by

$d=a_2-a_1\\\\d=12-17\\\\d=-5$

We need to check whether -150 is a term of above A.P.:

As we know the formula for "Arithmetic progression":

$a_n=a+(n-1)d\\\\-150=17+(n-1)\times (-5)\\\\-150=17-5n+5\\\\-150-5=17-5n\\\\-155=17-5n\\\\-155-17=-5n\\\\-172=-5n\\\\n=\frac{172}{5}=34.4$

But number of terms (n) cannot be in decimal form.

Hence, No, -150 is not a term of above A.P.