What is the sum of the series?

10

Σ (7k - 2)

k=1

365

Step-by-step explanation:

The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is

7 (1) - 2 + 7 (2) - 2 + 7 (3) - 2 + 7 (4) - 2 + 7 (5) - 2 + 7 (6) - 2 + 7 (7) - 2 + 7 (8) - 2 + 7 (9) - 2 + 7 (10) - 2

= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68

= 365