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Question

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

g)6 + 11 + 16 + 21 + 26 + 31 + 36

h)0 + 3 + 8 + 15 + 24 + 35 + 48 + 63 + 80

Answer 1

Step 1 :

g).

The series is .

The sum can be written as :

.

The sum has 7 terms, each of the form , and starts at and ends at .

The summation notation of is :

.

Solution :

.

Answer 2

Step 1 :

h).

The series is .

The sum can be written as :

The sum has 9 terms, each of the form , and starts at and ends at .

The summation notation of is :

.

Solution :

.