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djverab [1.8K]
3 years ago
13

What is the value of t=1 ∑³ (4 x 1/2^t-1)

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

7

Step-by-step explanation:

\sum\limits_{t=1}^{3}(4\cdot(\frac{1}{2})^{t-1})

This is the sum of the first three terms of a geometric sequence, where the first term is 4 and the common ratio is ½.

We can use a formula to find the sum, or, since there's only three terms, we can find the value of each term then add up the results.

4 · (½)¹⁻¹ = 4

4 · (½)²⁻¹ = 2

4 · (½)³⁻¹ = 1

4 + 2 + 1 = 7

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