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

. The numbers which are divisible by 9 between 250 and 1000 are, = 28 × 9, 29 × 9, 30 × 9, ............, 111 × 9. = 252, 261, 270, .........., 999. The above sequence is an A.P. with common difference = 9 and first term = 252 and last term = 999. Let n be no. of terms, ∴ a n = a + (n - 1)d ⇒ 999 = 252 + (n - 1)9 ⇒ 999 = 252 + 9n - 9 ⇒ 999 = 9n + 243 ⇒ 999 - 243 = 9n ⇒ 9n = 756 ⇒ n = 84. Hence, sum = 52542.

The sum of first 7 terms of an A.P. is 49 and that of first 17 terms of it is 289. Find the sum of first n terms.

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The first term of an A.P. is 5, the last term is 45 and the sum of its term is 1000. Find the number of terms and the common difference of the A.P.

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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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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.

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Mathematics

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

AP

Related Questions

The sum of first 7 terms of an A.P. is 49 and that of first 17 terms of it is 289. Find the sum of first n terms.

The first term of an A.P. is 5, the last term is 45 and the sum of its term is 1000. Find the number of terms and the common difference of the A.P.

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?

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.

Mathematics

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

AP

Related Questions

The sum of first 7 terms of an A.P. is 49 and that of first 17 terms of it is 289. Find the sum of first n terms.

The first term of an A.P. is 5, the last term is 45 and the sum of its term is 1000. Find the number of terms and the common difference of the A.P.

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?

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.

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.