Question

hlo dudes ,

give me the answer of this question with complete explanation--

Q => Find the sum of all natural numbers from 75 to 97 .

Answer 1

refer the pic..
hope it'll help..
mark it as brainliest..

Answer 2

Let a be the first term and d be the common difference.

First term a = 75.

Common difference d = 1

Last term an = 97.


We know that an = a + (n - 1) * d

                        97 = 75 + (n - 1) * 1

                        97 = 75 + n - 1

                        97 = 74 + n

                        97 - 74 = n

                        23 = n.



Now,

Sum of n terms = n/2(a + l)

                          = 23/2(75 + 97)

                          = 23/2(172)

                          = 23 * 86

                          = 1978.



Therefore the sum of natural numbers from 75 to 97 = 1978.


Hope this helps!