In an A.P. the first term is 25, n th term is -17 and the sum of n terms is 132. Find n and the common difference.

Given, a = 25, a n = -17 and S = 132 ⇒ a + (n - 1)d = -17 ⇒ 25 + (n - 1)d = -17 ⇒ (n - 1)d = -42 ........(i) We know that, Substituting value of n in (i), ⇒ (33 - 1)d = -42 ⇒ 32d = -42 ⇒ d = - Hence, n = 33 and d = .

Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.

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The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?

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If the 8^th term of an A.P. is 37 and the 15^th term is 15 more than the 12^th term, find the A.P.
Also, find the sum of first 20 terms of this A.P.

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The sum of n natural numbers is 5n² + 4n. Find its 8^th term.

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Mathematics

In an A.P. the first term is 25, n^th term is -17 and the sum of n terms is 132. Find n and the common difference.

AP

Related Questions

Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.

The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?

If the 8^th term of an A.P. is 37 and the 15^th term is 15 more than the 12^th term, find the A.P.
Also, find the sum of first 20 terms of this A.P.

The sum of n natural numbers is 5n² + 4n. Find its 8^th term.

Mathematics

In an A.P. the first term is 25, nth term is -17 and the sum of n terms is 132. Find n and the common difference.

AP

Related Questions

Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.

The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?

If the 8th term of an A.P. is 37 and the 15th term is 15 more than the 12th term, find the A.P.Also, find the sum of first 20 terms of this A.P.

The sum of n natural numbers is 5n2 + 4n. Find its 8th term.

In an A.P. the first term is 25, n^th term is -17 and the sum of n terms is 132. Find n and the common difference.

If the 8^th term of an A.P. is 37 and the 15^th term is 15 more than the 12^th term, find the A.P.
Also, find the sum of first 20 terms of this A.P.

The sum of n natural numbers is 5n² + 4n. Find its 8^th term.