Find the number of terms in the AP 17, 29/2, 12,..., -38
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Answer:
Given that,
a=17
common difference = a2-a1
=29/2-17
=29/2-34/2
= -5/2
an= -38
therefore, by the formula,
an=a+(n-1)d
-38=17+(n-1) (-5/2)
-38=17-5/2+(n-1)
-38=34-5/2+(n-1)
-38=29/2+(n-1)
-38×2=29+(n-1)
-76=29+(n-1)
-76-29=(n-1)
-105=(n-1)
-105+1=n
-104=n
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