Question

1. the given series has six terms. what is the sum of the terms of the series?

1 + 3 + 5 + … + 11
○ 20
○ 27
○ 40
○ 36

Explanation:

Step1: Identify arithmetic series params

First term $a_1=1$, last term $a_n=11$, number of terms $n=6$.

Step2: Apply sum formula for series

Use arithmetic series sum formula: $S_n = \frac{n}{2}(a_1+a_n)$

Step3: Substitute values and calculate

$S_6 = \frac{6}{2}(1+11) = 3\times12 = 36$

Answer:

D. 36