Find the sum of even numbers from 34 to 234 inclusive
Mathematics · College · Tue Nov 03 2020
llm
Answered on
A.P. = 34,36,38,…..234
an = a + (n-1)d ….1
Sn = n/2(a + l) …2
We have,an or l = 234
a = 34
d = 2
So, putting in formula 1
234 = 34 + (n-1) 2
234 -34 = (n-1)2
200/2 = n-1
n = 100 + 1
n = 101
Now, putting values in formula 2
Sn = 101/ 2 (34 + 234)
= 101/ 2 (268)
= 13,534
Hence, sum of numbers is 13,534