Express the series in summation notation, 2 + 4 + 6 + 8 + 10 + 12

Solution:

The series given is 2 + 4 + 6 + 8 + 10 + 12

In summation notation we can write it as

Summation of 2i from i = 1 to i = 6

\(\sum_{i=1}^{6}2i\)

Therefore, the series in summation notation is \(\sum_{i=1}^{6}2i\).

Example:

Express the series in summation notation, 3 + 6 + 9 + 12 + 15 + 18

Solution:

The series given is 3 + 6 + 9 + 12 + 15 + 18

In summation notation we can write it as

Summation of 3i from i = 1 to i = 6

\(\sum_{i=1}^{6}3i\)

Therefore, the series in summation notation is \(\sum_{i=1}^{6}3i\).

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Express the series in summation notation, 2 + 4 + 6 + 8 + 10 + 12

Summary:

The series in summation notation, 2 + 4 + 6 + 8 + 10 + 12 is \(\sum_{i=1}^{6}2i\).