Answer:-225
Step-by-step explanation:The arithmetic series is given by:
a1 = -1, d=-2, n = 15
where a1 is the first term, d is the common difference, and n is the number of terms.
To evaluate this series, we can use the formula for the sum of an arithmetic series:
Sn = n/2 * [2a1 + (n-1)d]
where Sn is the sum of the first n terms.
Substituting the given values, we get:
S15 = 15/2 * [2(-1) + (15-1)(-2)]
= 15/2 * [-2 - 28]
= 15/2 * (-30)
= -225
Therefore, the sum of the first 15 terms of the arithmetic series with a1 = -1, d=-2 is -225.