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Arithmetic and Geometric Series

Total questions: 9

Worksheet time: 30mins

Name
Class
Date
1.

An arithmetic sequence is a sequence of numbers in which any term can be obtained from the previous term by (a)   a fixed number

2.

The third term of an arithmetic sequence is 10 and the sixth term is 22. Calculate the 10th term.

a)

32

b)

36

c)

38

d)

40

3.

Prize money of RM10500 has been awarded to a 15-team league football. All teams are to be awarded in prize money where the first-place team promised RM1000 and the award decreases by certain fixed amount.

3.

How much will the last-place team received?

4 lines
4.

Differentiate between arithmetic and geometric sequence.

4 lines
5.

Evaluate: ∑x=211(5x−2)\sum_{x=2}^{11}\left(5x-2\right)  

a)

305

b)

503

c)

53

d)

8

6.

List the key point that you need to remember when learning arithmetic and geometric sequence.

2 lines
7.

Do you agree that the sum of infinite geometric series can only be found if the value of the common ratio between -1 to 1 only?

a)

YES

b)

NO

8.

What is the 15th term of the geometric sequence: 2, 6, 18, 54, ...?

(a)  

9.

The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the terms is 6558. Find the common ratio and calculate the number of terms in the series.

4 lines