The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories
1 answer:
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Answer:
Step-by-step explanation:
<u>Given</u>:
The <u>sigma notation</u> means to find the sum of the given <u>geometric series</u> where the first term is when n = 1 and the last term is when n = ∞.
To find the <u>first term</u> in the series, substitute n = 1 into the expression:
The <u>common ratio</u> of the geometric series can be found by dividing one term by the previous term:
As | r | < 1 the series is <u>convergent.</u>
When a series is convergent, we can find its sum to infinity (the limit of the series).
<u>Sum to infinity formula</u>:
where:
- a is the first term in the series
- r is the common ratio
Substitute the found values of a and r into the formula:
Therefore:
Learn more about Geometric Series here: