Math, asked by affanskyahoo10, 11 months ago

find the sum of add number between 0 and 60​

Answers

Answered by sayali0220
1

Answer:

the sum of odd number between 0 and 60 is 900

Step-by-step explanation:

hope it will help you

Attachments:
Answered by Anonymous
3

Sum is 900

Explanation :

Given :-

A.P :- 1, 3, 5, 7 ........ 59

  • First term (a) = 1
  • Common Difference (d) = 2
  • Last term (L) = 59

________________________

To Find :-

We have to find the Sum of the term of the A.P

________________________

Solution :-

Firstly we will find the number of terms (n)

An = a + (n - 1)d

59 = 1 + (n - 1)2

59 = 1 + 2n - 2

59 = 2n - 1

59 + 1 = 2n

60 = 2n

60/2 = n

30 = n

Hence, number of terms (n) are 30

______________________

Now,

A.T.Q

 S_{n} = \frac{n}{2} 2a + (n - 1)d \\ \\ S_{n} = \frac{30}{2}2(1) + (30 - 1)2 \\ \\ S_{n} = 15(2 + 29 \times 2) \\ \\ S_{n} = 15(2 + 58) \\ \\ S_{n} = 15(60) \\ \\ S_{n} = 900

Therefore, Sum of the terms of the A.P is 900.

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