FINDING THE SPECIFIC TERM FROM THE GIVEN EXPLICIT FORMULA WORKSHEET

Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem.

Problem 1 :

an = -11 + 7n

Find a34

Solution

Problem 2 :

an = 65 - 100n

Find a39

Solution

Problem 3 :

an = -7.1 - 2.1n

Find a27

Solution

Problem 4 :

an=118+12nFind a23

Solution

Find the common difference, the explicit formula, and the term named in the problem.

Problem 5 :

31, -69, -169, -269, ...

Find a40

Solution

Problem 6 :

-22, -222, -422, -622

Find a32

Solution

Problem 7 :

12, 16, 20, 24,...

Find a30

Solution

Problem 8 :

0, -4, -8, -12,..

Find a31

Solution

Problem 9 :

-10, -30, -50, -70, ...

Find a21

Solution

Problem 10 :

11, 20, 29, 38,...

Find a34

Solution

Answer Key

1)  First five terms are -4, 3, 10, 17, 24 and a34 = 227

2) First five terms are -35, -135, -235, -335, -435 and a39 = -3835

3)  First five terms are -9.2, -11.3, -13.4, -15.5, -17.6 and a27 = -63.8

4) 15/8, 19/8, 23/8, 27/8 and 31/8

5)  a40 = -3869

6)  a32 = -6222

7) a30 = 128

8)  a31 = -120

9)  a21 = -410

10)  a34 = 308

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