## WRITING EQUATIONS FOR ARITHMETIC SEQUENCES WORKSHEET

Writing equations for arithmetic sequences worksheet :

Here we are going to see some practice questions on writing equations for arithmetic sequence.

## Writing equations for arithmetic sequences worksheet - Practice questions

(1)  Write an equation for the nth term of each arithmetic sequence.

-3, -6, -9, -12, …

(2)  Write an equation for the nth term of each arithmetic sequence.

8, 9, 10, 11, …

(3)  Write an equation for the nth term of each arithmetic sequence.

2, 8, 14, 20, …

(4)  Write an equation for the nth term of each arithmetic sequence.

-18, -16, -14, -12, …

(5)  Write an equation for the nth term of each arithmetic sequence.

12, 23, 34, 45 …

(6)  Write an equation for the nth term of each arithmetic sequence.

9, 17, 25, 33,................

## Writing equations for arithmetic sequences worksheet - Solution

Question 1 :

Write an equation for the nth term of each arithmetic sequence.

-3, -6, -9, -12, …

Solution :

an  =  a + (n - 1)d

a  =  -3, d  =  t2 - t ==> -6 - (-3)  ==> -6 + 3  ==> -3

an  =  -3 + (n - 1)(-3)

an  =  -3 -3n + 3

an  =  -3n

Question 2 :

Write an equation for the nth term of each arithmetic sequence.

8, 9, 10, 11, …

Solution :

an  =  a + (n - 1)d

a  =  8, d  =  t2 - t ==> 9 - 8  ==> 1

an  =  8 + (n - 1)(1)

an  =  8 + n - 1

an  =  7 + n

Question 3 :

Write an equation for the nth term of each arithmetic sequence.

2, 8, 14, 20, …

Solution :

an  =  a + (n - 1)d

a  =  2, d  =  t2 - t ==> 8 - 2  ==> 6

an  =  2 + (n - 1)(6)

an  =  2 + 6n - 6

an  =  6n + 2 - 6

an  =  6n - 4

Question 4 :

Write an equation for the nth term of each arithmetic sequence.

-18, -16, -14, -12, …

Solution :

an  =  a + (n - 1)d

a  =  -18, d  =  t2 - t ==> -16 - (-18)  ==> -16 + 18  ==> 2

an  =  -18 + (n - 1)(2)

an  =  -18 + 2n - 2

an  =  2n -18 - 2

an  =  2n - 20

Question 5 :

Write an equation for the nth term of each arithmetic sequence.

12, 23, 34, 45 …

Solution :

an  =  a + (n - 1)d

a  =  12, d  =  t2 - t ==> 23 - 12  ==> 11

an  =  12 + (n - 1)(11)

an  =  12 + 11n - 11

an  =  11n + 12 - 11

an  =  11n + 1

Question 6 :

Write an equation for the nth term of each arithmetic sequence.

9, 17, 25, 33,................

Solution :

an  =  a + (n - 1)d

a  =  9, d  =  t2 - t ==> 17 - 9  ==> 8

an  =  9 + (n - 1)(8)

an  =  9 + 8n - 8

an  =  8n + 9 - 8

an  =  8n + 1 After having gone through the stuff given above, we hope that the students would have understood "Writing equations for arithmetic sequences worksheet".

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