Question

1. What are the next two terms of the following sequence?

1,5,9.........


A: 27, 211

B: 10, 11

C: 12, 15

D: 13, 17 *****

2. what is the common difference of the following Arithmetic sequence

102, 100, 98, 96....

A: 2

B: -2*****

C: -1

D: 102


3. What is the ninth term of the arithmetic sequence defined by the rule below?

A(n( = -14 + (n-1)(2)

A: 232

B: 230

C:2****

D: 4


4. Which function below represents the arithmetic sequence

3, 7 , 11, 15....?

A: F(n) = 4+3(n-1)

B: F(n) = 4+3n

C: F(n) = 3+4n

D: F(n) = 3+4(n-1)******

Answer 1

1. 13, 17 Option D

2. -2 Option B

3. 2 Option C

4. F(n) = 3+4(n-1) Option D

Explanation:

Answer 2

1. 13, 17 Option D

2. -2 Option B

3. 2 Option C

4. F(n) = 3+4(n-1) Option D

Explanation:

1.

Given sequence is: 1, 5, 9....

Common difference = 5-1 = 9-5 = 4

Next term is :

9+4 = 13

and

13+4= 17

So, next two terms are: 13 & 17.

2.

Given sequence is :

102, 100, 98, 96....

Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2

3.

Given rule is :

Aₙ = -14 + (n - 1)(2)

Find the 9th term

so, we put n = 9

A₉ = -14 + (9-1)*2

A₉ = -14 + 8*2 = -14 + 16

A₉ = 2

Ninth term is 2.

4.

Given sequence is:

3, 7, 11, 15.....

Write the nth term

Formula is :

F(n) = a₁ + (n-1)d

Where a₁ is first term

n is number of terms

d is common difference

a₁ = 3

d = 7-3 = 11-7 = 15 - 11 = 4

So nth term is :

F(n) = 3 + 4(n-1)

That's the final answer.