Question

Find whether -150 is a term of the AP: 17, 12, 7, .....
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Answer 1

Step-by-step explanation:

150=17(n-1)-5

150=17 -5n+5)

150=22-5n

150-22=-5n

isnot a term

Answer 2

step by step explanation:

concept : Arithmetic progression

given Ap series :

17,12,7...

here a = 17 and d = -5

we have to find -150 is term of given series or not

so let -150 be an term of series then ,

an = a+ (n-1) d

-150 = 17 + (n-1)×(-5)

[ put values of a ,d and an ]

then ,

$\frac{167}{5} = n - 1$

$n = \frac{172}{5}$

since n can't be fraction

therefore -150 is term of given series

I hope it helps you