Q19 of 47 Page 1

If the 10th term of an A.P. is 52 and 17th term is 20 more than the 13th term, find the A.P.

As we know, nth term in A.P. is a + (n-1)d


Where, a is first term


n is Nth term


d is difference between terms


Given 10th term of A.P. is 52


⇒ a+(10-1)d=52


And 17th term is 20 more than 13th term


⇒a+(17-1)d=a+(13-1)d+20


⇒12d+20=16d


⇒20=4d


⇒d=5


Also a + (10-1) d = 52


a + 9(5) = 52


⇒a=7


Conclusion: Therefore A.P. is 7+(n-1)5


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