The sum of the series
is 1824
How to find the sum of the series
The sum
is an arithmetic series, where the first term can be obtained by plugging in j = 3 in the equation 5 + 2·j, which is; 5 + 2 × 3 = 11, and the common difference,d, is; (5 + 2 × 4) - (5 + 2 × 3) = 2
The number of terms between 3 and 40, n, are 40 - 3 + 1 = 38 terms
The formula for the sum of an arithmetic series is; Sₙ =

Therefore; the sum of the arithmetic series is; S₃₈ =

S₃₈ =

S₃₈ = 19 × 96
19 × 96 = 1824
S₃₈ = 1824