Question

Match each of the summation notations below to the correct series it describes. Some choices will not be used.

NEED ASAP!

Answer 1

∑₁⁴ 3n + 5 = option e

∑₁⁴ n² + 3 = option b

∑₂⁵ 2n - 1 = option f

∑₂⁵ 2ⁿ - 5 = option a

Explanation:

∑₁⁴ 3n + 5

= 3(1) + 5 + 3(2) + 5 + 3(3) + 5 + 3(4) + 5

= 8 + 11 + 14 + 17

= option e

∑₁⁴ n² + 3

= 1² + 3 + 2² + 3 + 3² + 3 + 4² + 3

= 4 + 7 + 12 + 19

= option b

∑₂⁵ 2n - 1

= 2(2) - 1 + 2(3) - 1 + 2(4) - 1 + 2(5) - 1

= 3 + 5 + 7 + 9

= option f

∑₂⁵ 2ⁿ - 5

= 2² - 5 + 2³ - 5 + 2⁴ - 5 + 2⁵ - 5

= -1 + 3 + 11 + 27

= option a