Arithmetic Series Date Period

[Pages:4]Kuta Software - Infinite Algebra 2

Arithmetic Series

Evaluate the related series of each sequence. 1) 13, 15, 17, 19, 21, 23

Name___________________________________ Date________________ Period____

2) 6, 11, 16, 21, 26, 31, 36

3) 22, 28, 34, 40, 46

4) 39, 49, 59, 69

Evaluate each arithmetic series described.

35

5) (5k - 2)

k = 1

35

6) (3i - 13)

i = 1

15

7) 4m

m = 1

10

8) (7m - 2)

m = 1

6

9) 3i

i = 1

45

10) (3n - 9)

n = 1

11) a = 42, a = 146, n = 14

1

n

12) a = 4, a = 22, n = 10

1

n

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Worksheet by Kuta Software LLC

13) a = 2, a = 122, n = 13

1

n

14) a = -18, a = -102, n = 13

1

n

15) 20 + 27 + 34 + 41..., n = 16

16) 20 + 30 + 40 + 50..., n = 15

17) 7 + 9 + 11 + 13..., n = 10

18) 10 + 12 + 14 + 16..., n = 11

Determine the number of terms n in each arithmetic series.

19) a = 19, a = 96, S = 690

1

n

n

20) a = 16, a = 163, S = 4475

1

n

n

21) a = 19, a = 118, S = 822

1

n

n

22) a = 15, a = 79, S = 423

1

n

n

23) a = -3, d = 2, S = 21

1

n

24) a = 4, d = 7, S = 228

1

n

25) (-2) + (-12) + (-22) + (-32)..., S = -224 n

26) (-16) + (-26) + (-36) + (-46)..., S = -1818 n

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Arithmetic Series

Evaluate the related series of each sequence. 1) 13, 15, 17, 19, 21, 23

108

Name___________________________________ Date________________ Period____

2) 6, 11, 16, 21, 26, 31, 36 147

3) 22, 28, 34, 40, 46 170

4) 39, 49, 59, 69 216

Evaluate each arithmetic series described.

35

5) (5k - 2)

k = 1

3080

35

6) (3i - 13)

i = 1

1435

15

7) 4m

m = 1

480

10

8) (7m - 2)

m = 1

365

6

9) 3i

i = 1

63

45

10) (3n - 9)

n = 1

2700

11) a = 42, a = 146, n = 14

1

n

1316

12) a = 4, a = 22, n = 10

1

n

130

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Worksheet by Kuta Software LLC

13) a = 2, a = 122, n = 13

1

n

806

14) a = -18, a = -102, n = 13

1

n

-780

15) 20 + 27 + 34 + 41..., n = 16 1160

16) 20 + 30 + 40 + 50..., n = 15 1350

17) 7 + 9 + 11 + 13..., n = 10 160

18) 10 + 12 + 14 + 16..., n = 11 220

Determine the number of terms n in each arithmetic series.

19) a = 19, a = 96, S = 690

1

n

n

12

20) a = 16, a = 163, S = 4475

1

n

n

50

21) a = 19, a = 118, S = 822

1

n

n

12

22) a = 15, a = 79, S = 423

1

n

n

9

23) a = -3, d = 2, S = 21

1

n

7

24) a = 4, d = 7, S = 228

1

n

8

25) (-2) + (-12) + (-22) + (-32)..., S = -224 n 7

26) (-16) + (-26) + (-36) + (-46)..., S = -1818 n 18

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