wirte the formula to find the sum of n term
Answers
HERE IS UR ANSWER DEAR,
Sum of N Terms Formula
Sum of N Terms Formula It is equal to n divided by 2 times the sum of twice the first term – 'a' and the product of the difference between second and first term-'d' also known as common difference, and (n-1), where n is numbers of terms to be added.
Formula to find Nth term:
an=a1 + (n−1) d
a1 = First term
common difference = d
Example: 2, 4, 6, 8, 10 in this question "d" = 2 because there is a gap of 2 numbers from each number
and Nth term = an
Examples:
question:
2, 4, 6, 8... (... means soo on) find the 20th term if the following AP (arithmetic progression)
Answer:
1) Find the common difference:
d = 2
Formula:
an=a1 + (n−1) d
Plug in the terms:
=> a1 = 2
=> an = 20 (we have to find the nth term)
=> n = 20 (the number which you want to find)
=> d = 2
a20 = 2 + (20 - 1) . 2
Simplify:
a20 = 2 + (20 - 1) . 2
=> 2 + 19 x 2
=> 2 + 38
=> 40
Nth term = 40
Hope This Helps You
Have a Nice Day :)