Find the indicated partial sum for the given sequence
-$s_{6}, 5,7,9,11, \ldots$
A) 5
B) 30
C) 60
D) 17

Question

Quizplus · Accepted Answer

The given sequence is an arithmetic sequence where the first term $s_{6} = 5$ and the common difference is 2 (since each term increases by 2). To find the indicated partial sum, we need to identify the number of terms and use the formula for the sum of an arithmetic series, $S_n = \frac{n}{2}(a_1 + a_n)$, where $n$ is the number of terms, $a_1$ is the first term, and $a_n$ is the nth term. Here, we're looking for the sum of the first 6 terms (since $s_{6}$ is mentioned as the starting point and it's actually the first term in the sequence provided for the sum). The 6th term can be found by adding the common difference 5 times to the first term: $5 + 2*5 = 15$. Thus, the sum of the first 6 terms is $S_6 = \frac{6}{2}(5 + 15) = 3 * 20 = 60$.

Find the Indicated Partial Sum for the Given Sequence - s6,5,7,9,11,…s_{6}, 5,7,9,11, \ldotss6​,5,7,9,11,…

Find the Indicated Partial Sum for the Given Sequence
- $s_{6}, 5,7,9,11, \ldots$