Find the sum of all odd natural numbers less than 50.

Question

KnowledgeBoat · Accepted Answer

Odd numbers less than 50 = 1, 3, 5, ........., 49. The above series is an A.P. with a = 1, d = 2 and l = 49. Let there be n terms in series, ⇒ a_n = 49 ⇒ a + (n - 1)d = 49 ⇒ 1 + 2(n - 1) = 49 ⇒ 1 + 2n - 2 = 49 ⇒ 2n - 1 = 49 ⇒ 2n = 50 ⇒ n = 25. We know that, Hence, sum of odd natural numbers less than 50 = 625.

Mathematics

Find the sum of all odd natural numbers less than 50.

AP

Related Questions

How many terms of the A.P. :
24, 21, 18, ……….. must be taken so that their sum is 78 ?

Find the sum of 28 terms of an A.P. whose n^th term is 8n - 5.

Find the sum of first 12 natural numbers each of which is a multiple of 7.

Find the sum of first 51 terms of an A.P. whose 2^nd and 3^rd terms are 14 and 18 respectively.

Mathematics

Find the sum of all odd natural numbers less than 50.

AP

Related Questions

How many terms of the A.P. :24, 21, 18, ……….. must be taken so that their sum is 78 ?

Find the sum of 28 terms of an A.P. whose nth term is 8n - 5.

Find the sum of first 12 natural numbers each of which is a multiple of 7.

Find the sum of first 51 terms of an A.P. whose 2nd and 3rd terms are 14 and 18 respectively.

How many terms of the A.P. :
24, 21, 18, ……….. must be taken so that their sum is 78 ?

Find the sum of 28 terms of an A.P. whose n^th term is 8n - 5.

Find the sum of first 51 terms of an A.P. whose 2^nd and 3^rd terms are 14 and 18 respectively.