(1) The 15th term of an A.P. is 3 more than twice its 7th term. If the 10th term of A.P. is 41. find its nth term.​

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Explanation:

The nth term of the AP is .

The  nth term of an AP is given by the formula , where a is the first term ,d is the common difference.

Therefore , 15th term of an AP is 3 more than twice the 7th term of the AP

a - 2d = -3     (Equation 1)

Now,

10th term of the AP is 41

a + 9d = 41    (Equation 2)

On subtracting equation 2 from equation 1 , we get

d = 4

Now substituting the value of d in equation 1, we get

a = 5

Therefore, the nth term of the AP becomes

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