Question

the first term of AP is -4 and 10th term is 14 .determine 30 th term

Answer 1

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Answer 2

Given:

The first term of an A.P is -4 and the 10th term is 14.

To Find:

The 30th term of the A.P is?

Solution:

The given problem can be solved using the concepts of A.P

1. The first term of the A.P is -4,

=> a = -4.

2. The nth term of an A.P with first term a, and common difference d is given by the formula,

=> Tn = a + ( n - 1 )d.

3. The 10th term of the A.P is 14,

=> T10 = a + 9d = 14,

=> a + 9d = 14,

=> 9d = 14 + 4,

=> 9d = 18,

=> d = 2.

4. The value of the 30th term will be,

=> T30 = a + 29d,

=> T30 = -4 + 29(2),

=> T30 = 54.

Therefore, the 30th term of the A.P will be 54.