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Question:

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

Solution:

Givena10=52an=a+(n𕒵)d52=a+9d(1)also,a17=20+a13a+16d=20+a+12d4d=20d=5(2)From(1)and(2)52=a+9×5a=7The AP is:7,12,17,22,...