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Determine if the sequence is arithmetic. If it is, find the common difference, the explicit formula

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Algebra 2 - Sequences & Series Unit

Name  Arithmetic Sequences Worksheet 1

Determine if the sequence is arithmetic. If it is, find the common difference, the explicit formula, and the three terms in the sequence after the last one given.

1) 36, 6, -24, -54, ...

2) -34, -40, -46, -52, ...

3) 8, -2, -12, -22, ...

4) 158, 1588, 15888, 158888, ...

5) -8, 1, 10, 19,...

6) -32, -29, -26, -23, ...

7) -19, -219, 419, -619, ...

8) 3, 6, 12, 24,...

9) -12, -17, -22, -27, ...

10) 17, 37, 57, 77, ...

Given the explicit formula for an arithmetic sequence find the common difference and the first five terms.

11) 4 = 37 - 10

12) 4 = 3 +5n

13) a = 126-1001

14) a = 28 - 6 -1

15) a = 3 - 30

16) a = -23 - 31

17) a = 25 + 2n

18) a = -49 + 10

Given the first term and the common difference of an arithmetic sequence find the term named in the problem and the explicit formula.

19) a = 20, d = 2

20) 4 = -31, d=9

Find a

Find a

21) a = -7, d=-5

22) = -40, d=-100

Find a

Find a

40

23) 4 = -4, d = -10

24) a = -4, d = 200

Find a

Find 4,1

25) 4 =-33, d=-10

26) a = -40, d = 30

Find a

Find a

40

28) a = -35, d =-20

27) 4 = 15, d = 4

Find a

Find a

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