if the 10th term of an ap is 52 and 27th term is 20 more than 13 term find the AP
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Answer:
Step-by-step explanation:
Given :-
The 10th term of an A.P. is 52.
And the 27th term of A.P. is 20 more than 13th term
To Find :-
A.P.
Solution :-
10th term of an A.P. is 52
So, a + 9d = 52 ... (i)
27th term of A.P. is 20 more than 13th term
Then, a + 16d = 20 + a + 12d
⇒ 4d = 20
⇒ d = 20/4
⇒ d = 5
Putting d's value in Eq (i), we get
⇒ a + 9d = 52
⇒ a + 9(5) = 52
⇒ a + 45 = 52
⇒ a = 52 - 45
⇒ a = 7
Hence, series of A,P. are 7, 12, 17, 22....
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