Find the sum of the two middle most terms of the A.P.

Here, a = We need to find the number of terms in the A.P. On multiplying both sides by 3, Since, A.P. has 18 terms, therefore 9th and 10th terms are two middle most terms. a 9 = a + (9 - 1)d = a + 8d (Eq 1) a 10 = a + (10 - 1)d = a + 9d (Eq 2) Adding Eq 1 and Eq 2, a 9 + a 10 = a + 8d + a + 9d = 2a + 17d. Hence, the sum of middle most terms Hence, the sum of the two middle most terms of the A.P. is equal to 3.

Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.

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Find the 12th term from the end of A.P. -2, -4, -6, …., -100.

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Which term of the A.P. 53, 48, 43, …. is the first negative term?

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Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12.

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Mathematics

Find the sum of the two middle most terms of the A.P.

AP GP

Related Questions

Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.

Find the 12th term from the end of A.P. -2, -4, -6, …., -100.

Which term of the A.P. 53, 48, 43, …. is the first negative term?

Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12.