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## Use sigma notation to represent the sum of the first seven terms of the following sequence: −4, −6, −8, …

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Use sigma notation to represent the sum of the first seven terms of the following sequence: −4, −6, −8, …

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Mathematics
5 months
2021-08-04T19:46:00+00:00
2021-08-04T19:46:00+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:Arithmetic sequence:In an arithmetic sequence, the difference of consecutive terms is always the same, called common difference.

The nth term of a sequence is given by:

In which is the first term and d is the common difference.

Sigma notation to represent the sum of the first seven termsSum going from the index starting at 1 and finishing at 7, that is:

Now we have to fund the function, which is given by an arithmetic sequence.

−4, −6, −8,First term -4, common difference – 6 – (-4) = -6 + 4 = -2, so

Then

Sigma notation:Replacing f(n)