Find the first term and the common difference of an AP, if the 3rd ter – InterviewSolution

1.	Find the first term and the common difference of an AP, if the 3rd term is 6 and 17 th term is 34.
Answer» If a is the first term and d is the common difference, then we have `" "a + 2d = 6" " `(1) `" " a + 16 d = 34" "` (2) On substracting Eq. (1) from Eq. (2), we get `" " 14 d = 28 rArr d = 2` Substituting the value of d in Eq. (1), we get `a= 2` `therefore a = 2 and d = 2`.

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Find the first term and the common difference of an AP, if the 3rd term is 6 and 17 th term is 34.