SUM OF ARITHMETIC SERIES WORKSHEET

Find the sum of

Problem 1 :

11 + 14 + 17 + … to 16 terms

Solution

Problem 2 :

27 + 22 + 17 + … to 10 terms

Solution

Problem 3 :

5 + 17 + 29 + … + 161

Solution

Problem 4 :

7.2 + 7.8 + 8.4 + … to 21terms

Solution

Problem 5 :

90 + 79 + 68 + … -20

Solution

Problem 6 :

0.12 + 0.155 + 0.19 + … to 150 terms

Solution

Answer Key

1)  S16 = 536

2)  Sn = 45

3)  S14 = 830

4)  S21 = 1411.2

5)  S11 = 385

6)  S150 = 54.75

Find the indicated nth partial sum (Sn) of the arithmetic sequence.

Problem 1 :

8, 20, 32, 44, … n = 10

Solution

Problem 2 :

a1 = -6, d = 4, n = 50

Solution

Problem 3 :

100 + 105 + 110 + … + 220

Solution

Problem 4 :

0.5 + 1.3 + 2.1 + … + 70.1

Solution

Problem 5 :

a1 = 3, d = 2, n = 12

Solution

Problem 6 :

a1 = 100, d = -5, n = 8

Solution

Problem 7 :

a2 = 8, a5 = 9.5, n = 12

Solution

Problem 8 :

-3 + (-3/2) + 0 + … + 30

Solution

Answer Key

1)  s10 = 620

2)  s50 = 4600

3)  S25 = 4000

4)  S88 = 3106.4

5)  S12 = 168

6)  S8 = 660

7)  S12 = 123

8)  S23 = 621/2

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