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Kaylis [27]
3 years ago
13

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

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

∑ₙ₌₁⁸ (3n − 9)

Step-by-step 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)

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But since the question has asked to give the equation in addition format. Put a plus sign in between the two.

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