Write the following series in sigma notation.
5+13+21+29+37+45+53

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

In order to write a series in sigma notation you must:

Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.