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Worksheets

Arithmetic Means and Series

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Insert one arithmetic mean between -8 and 4.

a)

14

b)

-2

c)

0

d)

6

2.

Insert two arithmetic means between 13 and 37

a)

21, 29

b)

19, 25

c)

20, 26

d)

18, 27

3.

Insert 3 arithmetic means between -3, and 37.

a)

9, 17, 25

b)

11, 21, 31

c)

7, 17, 27

d)

13, 23, 33

4.

Find the sum of the series  27+33+39+45+5127+33+39+45+51  .

a)

195

b)

198

c)

384

d)

390

5.

 ∑k=15 5k\sum_{k=1}^{5\ }5k  Evaluate the series

a)

65

b)

70

c)

75

d)

80

6.

The first and last term of the first 8 terms of an arithmetic series are 3 and 17 respectively. Find the sum of the series.

a)

80

b)

92

c)

101

d)

107

7.

The first term of an arithmetic sequence is 9 and the common difference is 2. Find the sum of the first 10 terms.

a)

172

b)

174

c)

178

d)

180

8.

 Find the sum of the first 8 terms of the series 0+(−4)+(−8)+(−12)+...0+\left(-4\right)+\left(-8\right)+\left(-12\right)+... 

a)

102

b)

108

c)

112

d)

204

9.

The first term and last term of an arithmetic sequence are 11 and 21 respectively. If the sum of the series is 96, how many terms are there?

a)

5

b)

6

c)

7

d)

8

10.

The sum of an arithmetic series whose first term is 15 and whose common difference is 2 is 95. How many terms are there in the series?

a)

5

b)

7

c)

8

d)

9