alleryStart learning →In summation notation, what does the number written above the sigma give?
AThe variable used in the explicit formula
BThe number generating the last term
CThe number generating the first term
DThe value of the completed sum itself
Answer & Solution
Correct answer: B. The number generating the last term
1. The number above the sigma is the upper limit of summation.
2. Substituting it into the explicit formula produces the last term of the series.
3. The number below the sigma is the lower limit, which produces the first term.
4. The variable written below the sigma is the index of summation, so that is a third piece of the notation rather than the upper limit.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.4 Series and Their Notations_
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