Question

What is the sum of all integers x, such that -37 < x <= 35?

Answer 1

we can solve it using sum of ap
here a = -36
D = 1
An = a + ( n-1) d
35 = -36 + ( n-1) 1
35 = -37 + n
n = 72
Sn = n/2 ( a+l )
Sn = 72/2 ( -36+35)
Sn = 36 *1
Sn = 36