Evaluate the Equation

Question

Use the properties of sigma notation and the summation formulas to evaluate  .

Question options:

1)	235
2)	555
3)	940
4)	1865

Answer 1

∑₁¹⁰(2i² + 4i - 5) = 2(10)(10 + 1)(2·10 + 1)/6 + 4·10(10 + 1)/2 - 5·10 = 940.

Answer is 3).

We use formulas: ∑₁ⁿ _i² = n·(n + 1)(2n + 1)/6, ∑₁ⁿ i = n(n + 1)/2 and ∑₁ⁿ 1 = n