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Question

Express the series below in summation notation for the specified number of terms.

e)0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

f)4 + 8 + 12 + 16 + 20

Answer 1

Step 1:

e)The series is .

Formula for summation notation of a sequence:.

The series has 10 terms and each of the form .

starts with 0 and ends with 9.

Summation notation for the series is,

.

Step 2:

f)The series is

Formula for summation notation of a sequence:.

The series has 5 terms and each of the , starts with 1 and ends with 5.

Summation notation for the series is,

.

Solution:

e) .

f) .