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Question

Find the number of terms in the following A.P. 7, 13, 19,....,205

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Solution

Let a,d and l be the first term, common difference and the last term of the A.P. respectively.
Given a=7,d=137=6 and l=205
Since l=a+(n1)d
205=7+(n1)6
198=(n1)6
33=n1
n=34
Hence, there are 34 terms in the A.P.

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