Question

is -150 a term of the AP 17,12,7,2​

Answer 1

Step-by-step explanation:

a=17

d=-5

tn=a+(n-1)d

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

-150=17+5n+5

-150=22+5n

-150-22=5n

5n=-172

n=-172/5

n cannot be negative

no it is not

Answer 2

Answer: nope

Step-by-step explanation:

Ap=17,12,7,2...

a=17

d=12-17=-5

an=-150

an=a+(n-1)d

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

-150-17=-5n+5

-167=-5n+5

-167-5=5n

-172=5n

n= -172\5=-34.4

It cannot be a term because ...

we know that n is the number of terms and we also know that no: of terms cannot be in decimal or in fraction

hence, -150 is not a term of the AP 17, 12,7,2