1.

Find an AP whose 4th term is 9 and the sum of its 6th and 13th terms is 40.

Answer» Correct Answer - 3, 5, 7, 9, 11,…
`T_(4) = 9 rArr a +3d = 9`
`rArr T_(6) + T_(13) = 40 rArr (a+5d) +(a+12d) = 40 rArr 2a +17d = 40`
From (i) and (ii), we get a= 3 and d = 2.
`therefore AP is 3, 5, 7, 9, 11,…


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