Free Printable S

1.

$\Sigma$ is sigma and represents

a)

difference

b)

product

c)

sequence

d)

sum

2.

Which of the following is the corresponding series of 1, 3, 5, 7, ...

a)

1 + 3 + 5 + 7 +...

b)

1 + 3 + 5 + 7

c)

... + 3 + 5 + 7+ ...

d)

...1 + 3 + 5 + 7

3.

Write in expanded form

\sum_{n\ =\ 1}^6\left(n\ +\ 10\right)

a)

11 + 13 + 15 + 17 + 19 + 21

b)

11 + 12 + 13 + 14 + 15 + 16

c)

1= + 11 + 12 + 13 + 14 + 15

d)

10 + 12 + 14 + 16 + 18 + 20

4.

Find the sum

\sum_{n\ =\ 1}^5\left(2n\ +\ 1\right)

a)

24

b)

30

c)

35

d)

55

5.

Use sigma notation to write the given sum

\frac{1}{3\left(1\right)}+\frac{1}{3\left(2\right)}+\frac{1}{3\left(3\right)}+\ ...\ +\ \frac{1}{3\left(9\right)}

a)

$\sum_{n\ =\ 0}^9\left(\frac{1}{3\ +\ n}\right)$

b)

$\sum_{n\ =\ 1}^9\frac{1}{3n}$

c)

$\sum_{n\ =\ 1}^9\frac{1}{2n}$

d)

$\sum_{n\ =\ 1}^9\frac{1}{n}$

6.

How many terms are there in the series

\sum_{k\ =\ 3}^{13}\left(3k\ +\ 1\right)

a)

10

b)

11

c)

12

d)

13

7.

Write in sigma notation 1+ 4 + 9 + ...+ 49

a)

$\sum_{k\ =\ 1}^7k^2$

b)

$\sum_{k\ =\ 1}^9k^2$

c)

$\sum_{k\ =\ 1}^{10}k^2$

d)

$\sum_{k\ =\ 1}^{49}k^2$

8.

write in sigma notation 1 + 2 + 3+ ... + 10

a)

$\sum_{n\ =\ 1}^9n$

b)

$\sum_{n\ =\ 1}^9\left(n\ +\ 1\right)$

c)

$\sum_{n\ =\ 1}^{10}n$

d)

$\sum_{n\ =\ 1}^{10}\left(n\ +\ 1\right)$

9.

Evaluate

\sum_{k\ =\ 1}^3\left(\frac{k^2}{\left(k\ +\ 1\right)}\right)

a)

$\frac{11}{6}$

b)

$\frac{47}{12}$

c)

2

d)

$\frac{49}{12}$

10.

Rewrite in summation notation 2 - 4 + 8 - 16 + 32 - 64 + 128

a)

$\sum_{k\ =\ 1}^7\left(-1\right)^{k\ }\times2^k$

b)

$\sum_{k\ =\ 1}^7\left(-1\right)^{k\ }\times2^{k+1\ }$

c)

$\sum_{\ k\ =\ 1}^7\left(-\ 1\right)^{k+1\ }$

d)

$\sum_{k\ =\ 1}^7\left(-1\right)^{k-1\ }\times2^k$

S

Total questions: 10

Worksheet time: 5mins

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