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Question

Answer 1

Step 1 :

6.

The series is .

The sum has 10 terms, each of the form , and starts at and ends at .

The summation notation of is :

.

Step 2 :

7.

The series is .

The sum can be written as .

The sum has 5 terms, each of the form , and starts at and ends at .

The summation notation of is :

.

Step 3 :

8.

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 :

.

Step 4 :

9.

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 :

6. .

7. .

8. .

9. .

Answer 2

Step 1 :

10.

The summation notation is .

The summation notation can be written as  .

.

 Step 2 :

The summation notation is .

.

 Step 3 :

 The series is .

.

Step 4 :

The series is .

.

Solution :

.

.

.

.

Answer 3

Step 1 :

1)

The summation notation is .

.

Sum of sequences formulas : , where c is a real number.

                                            .

.

Step 2 :

2).

The summation notation is .

The summation notation can be written as : .

Sum of sequences formula : , where c is a real number.

.

Step 3 :

3).

The summation notation is .

The summation notation can be written as : .

.

Step 4 :

4).

The summation notation is .

.

Step 5 :

5).

The summation notation is .

.

Solution :

1) .

2) .

3) .

4) .

5) .