Mathematics 10 Review Activity

Arithmetic Sequence

100

What is the common difference of 24, 41, 58, 75?

17

200

What is the 9th term of the sequence defined by a_n=2n-7?

11

300

Find the general term of the sequence where a1=5 and the common difference is -8.

a_n=13-8n

400

What is the Arithmetic mean between the numbers 175 and 35?

105

500

(−2) + (−12) + (−22) + (−32)..., S _n = −224 , What is n?

7

Geometric Sequence

100

What is the common ratio of the sequence 10, 30, 90, 270, 810, 2430, ?

3

200

The sum of the first six terms of the sequence 3,-6, 12, -24,.. is -63. TRUE or FALSE

TRUE

300

The first term of a geometric sequence is 192 and the fifth term is 0.75. What is the common ratio?

.25

400

The first term of a geometric sequence is 5, and the common ratio is 3.
What is the 6th term of the sequence?

1215

500

The 2nd term of the geometric sequence is 6 and the 4th term is 54. What is the common ratio?

3

Harmonic and Fibonacci Sequence

100

1/3, 1/9, 1/15,... what is next term?

1/21

200

What is the first term of the Fibonacci sequence whose a3=10?

5

300

True or False: The harmonic mean is defined as

 x=(a+b) / 2ab

False

400

If x_n is a Fibonacci number and n =4, what is a4?

a_n=a₂ + a₃

500

4, 4, 8, 12,... Give the next 5 terms

20, 32, 52, 84, 136

Series

100

The first term of an arithmetic series is 4 and the common difference is 7.
If the series has 10 terms, what is the sum of the series?

355

200

The sum of the first 10 even integers greater than 10 is 210. TRUE or FALSE

TRUE

300

A geometric series has a first term of a=3 and a common ratio of r=2.
Find the sum of the first 6 terms of the series.

189  

400

What is the sum of the first nine terms of the geometric sequence 20, 10, 5, ... ?
Give your answer as a decimal correct to 1 decimal place

39.9

500

How many terms of the geometric sequence
2, 8, 32, 128,...
are required to give a sum of 174,762 ?

9

Mekus-Mekus

100

What is the general term for an arithmetic sequence?

a_n=a1+(n-1)d

200

Find the general term of an arithmetic sequence whose 4th term is 28 with a common difference of 4.

a_n=12+4n

300

The first term of a geometric sequence is 5 and the sixth term is 160. What is the common ratio?

2

400

The first term of an arithmetic sequence is a=5, the 10th term is a10=41. Find the common difference d.

4

500

The sum of the first 4 terms of a geometric series is S₄=312 and the first term is a1=2. Find the common ratio r.

5