Question

How can the series {-6,-3+0+3+6+9+12+15} be denoted using Sigma Notation

Answer 1

∑ₙ₌₁⁸ (3n − 9)

Explanation:

This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:

aₙ = a₁ + d (n − 1)

aₙ = -6 + 3 (n − 1)

There are 8 terms in this series, so the sum is:

∑ₙ₌₁⁸ [-6 + 3 (n − 1)]

Simplified:

∑ₙ₌₁⁸ (3n − 9)