Question

Determine S44 of the arithmetic series 1 + 4 + 7 + 10 + ...

Answer 1

9514 1404 393

Answer:

2882

Explanation:

The sum of an arithmetic series is given by ...

`S_n=(n(2a_1+d(n-1)))/(2)`

For a1 = 1, d = 3, n = 44, we can fill in the values and do the arithmetic:

`S_(44)=(44(2(1)+3(44-1))/(2)=22(2+3\cdot43)\\\\\boxed{S_(44)=2882}`