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  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 **

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

102, 100, 98, 96....


A: 2


B: -2


C: -1


D: 102


  1. 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


  1. 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)****

Verified Answer :

Answer:

1.  13, 17                       Option D

2. -2                            Option B

3. 2                             Option C

4. F(n) = 3+4(n-1)        Option D

Step-by-step 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 + 82 = -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.

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