Find the first term for the following series: $\sum_{k=1}^{7} 3(2)^{k-1}$
24
6
12
3
1.5

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the general term of the series: $a_k = 3(2)^{k-1}$ ‖ ‖ step 2 ⋮ To find the first term, substitute $k = 1$ into the general term: $a_1 = 3(2)^{1-1}$ ‖ ‖ step 3 ⋮ Simplify the expression: $a_1 = 3(2)^0 = 3 \cdot 1 = 3$ ‖ ***D*** ∻Key Concept∻ ⚹First term of a geometric series⚹ ∻Explanation∻ ⚹The first term of a geometric series can be found by substituting the initial value of the index into the general term formula.⚹◊What is the formula for the sum of a geometric series⍭ Generate me a similar question◊

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