Explanation:
The given series can be expressed in sigma notation as:
∑ (37 - 2n)
where n starts from 0 and goes up to 5.
In this notation, the expression "37 - 2n" represents the terms of the series, and the sigma symbol (∑) indicates summation. The index variable n takes values from 0 to 5, and each term in the series is obtained by substituting the corresponding value of n into the expression "37 - 2n".
Expanding this notation, the series becomes:
(37 - 2(0)) + (37 - 2(1)) + (37 - 2(2)) + (37 - 2(3)) + (37 - 2(4)) + (37 - 2(5))
Simplifying further, we have:
37 + 37 - 2 + 37 - 2(2) + 37 - 2(3) + 37 - 2(4) + 37 - 2(5)
This yields the original series:
37 + 35 + 33 + 31 + 29 + 27