InterviewSolution
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InterviewSolution
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Find the (i) nth term and (ii) 16th term of the AP 3, 5, 7, 9, 11, … |
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Answer» The given AP is 3, 5, 7, 9, 11, … Its first term = 3 and common difference = (5-3) = 2. `therefore` a= 3 and d = (5-3) = 2. (i) Its nth term is given by `T_(n) = a + (n-1)d` ` = 3 +(n-1) xx 2 = (2n +1) " " [because a = 3 "and" d = 2].` `therefore "nth term" = (2n +1)` (ii) 16th term of the given AP is `T_(16) = a + (16 -1)d = (a + 15d)` ` = (3 + 15 xx 2) = 33 " " [because a= 3 "and" d= 2]` `therefore ` 16th term = 33.` |
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