Question

Add the numbers in the series 3+11+19+27+.....+395+403.

Answer 1

10353

Explanation:

The given series is in arithmetic progression since the common difference is same which is 8.

To find the sum of series we can simply apply the formula'

S= n/2( first term + last term)

S is the sum and n is the number of terms

we also need to find the number of terms n

n = (last term- first term)/2 + 1

`n= (403-3)/(8) + 1`

n= 51

`s= (51)/(2)(3+403)`

s= 10353