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What do I do ? I’m stuck on these question because I don’t remember this from previous lessons.

What do I do ? I’m stuck on these question because I don’t remember this from previous-example-1

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Answer: 21 (choice C)

Reason:

The fancy looking "E" is the Greek uppercase letter sigma. It represents "summation". We'll be adding terms of the form
3(2)^k where k is an integer ranging from k = 0 to k = 2.

  • If k = 0, then
    3(2)^k = 3(2)^0 = 3
  • If k = 1, then
    3(2)^k = 3(2)^1 = 6
  • If k = 2, then
    3(2)^k = 3(2)^2 = 12

Add up those results: 3+6+12 = 21

Therefore,
\displaystyle \sum_(k=0)^(2) 3(2)^k = \boldsymbol{21}

which points us to choice C as the final answer.

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