Question

Check whether -150
is a term of the AP
3,8,13,18,.……... is 78?​

Answer 1

Answer:

an= -150

a+(n-1)d= -150

3+(n-1)5= -150

(n-1)5=-150-3

n-1=-153/5

n= -153/5+1

n=-153+5/5

n=-148/5

• n cannot be a fraction.
• -150 is not a term of Ap

Answer 2

Answer:

-150 is not

78 is a term

Step-by-step explanation:

AP 3, 8, 13, 18...

a₁= 3

d=8-3=5

aₙ= 3+5(n-1)= 3-5+5n= -2+5n

-150= -2+5n ⇒ 5n= -148 ⇒ n= -148/5 = -29.6 is not an integer, so - 150 is not a term of this AP

78= -2+5n ⇒5n=80 ⇒ n= 80/5 ⇒ n=16 is integer so 78 is 16th term of this AP