find the whether -150 is a term of the ap. 17 ,12, 7 ,2....?
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This is a decreasing type a. p.
where a=17 and d=12-17=(-5)
now, to check whether -150 is a term of this ap
a(n)=a+(n-1)d
-150=17+(n-1)(-5)
-150-17= -5n+5
-167-5= -5n
-172= -5n
-172/-5 =n
n is not an integer hence -150 is not a term of this ap
hope it helps
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