Free Printable Sequences and series + Geo

1.

Look at these triangles with dots. How many dots are there in each? Compute the number of dots needed to make the next two triangles.

a)

31 dots

b)

36 dots

c)

11 dots

d)

26 dots

2.

Write down the sequence(-s) of natural numbers leaving remainder 1 on division by 3.

a)

4, 7, 10, ...

b)

5, 8, 11,...

c)

145, 148, 151, ...

d)

2001, 2004, 2007, ...

3.

Write down the first four terms of the sequence of natural numbers ending in 1 or 6.

(a)

4.

You are making a house of cards similar to the one shown. Write a rule for the number of cards in the nth row if the top row is row 1.

a)

$a_n=3n$

b)

$a_n=a_1+n\left(d-1\right)$

c)

$a_n=3n-1$

d)

$a_n=3\left(n-1\right)$

5.

Tell whether the sequence is arithmetic.

a)

1, -2, -5, -8, -11, . . .

b)

16, 14, 11, 6, 3, . . .

c)

5, 14, 23, 32, 41, . . .

d)

$\frac{7}{4},\frac{5}{4},\frac{3}{4},-\frac{3}{4},-\frac{5}{4},...$

e)

0.5, 1, 1.5, 2, 2.5, . . .

6.

For a certain arithmetic sequence, $d=4$ and $a_{30}=57.$ What is a rule for the nth term of the sequence?

a)

$a_n=-63-4n$

b)

$a_n=-59-4n$

c)

$a_n=-63+4n$

d)

$a_n=-59+4n$

7.

Sol LeWitt’s sculpture Four-Sided Pyramid in the National Gallery of Art Sculpture Garden is made of concrete blocks. As shown in the diagram, each layer has 8 more visible blocks than the layer in front of it.

When you view the pyramid from one corner, a total of 12 layers are visible. How many of the pyramid’s blocks are visible?

(a)

8.

At a restaurant, rectangular tables are placed together along their shared edges, as shown in the diagram below. How many people can be seated around 8 tables arranged in this way?

a)

30 people

b)

32 people

c)

34 people

d)

36 people

9.

Tell whether the sequence is geometric.

a)

1, 4, 8, 16, 32, . . .

b)

4, 16, 64, 256, 1024, . . .

c)

216, 36, 6, 1, 1/6, . . .

d)

-4, 12, -36, 108, -324, . . .

10.

A pendulum that is released to swing freely travels 18 cm on the first swing. On each successive swing, the pendulum travels 80% of the distance of the previous swing. What is the total distance the pendulum swings?

(a)

11.

Created an orthographic projection of the solid is

a)

b)

c)

d)

12.

Find $m\angle D$ in the kite shown at the right.

a)

$78\degree$

b)

$204\degree$

c)

$156\degree$

13.

A _______ is a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.

a)

kite

b)

rhombus

c)

square

d)

trapeziod

14.

Listen and answer.

(a)

15.

Listen and answer.

a)

4 or -1

b)

-4 or 1

c)

-4 or -1

d)

4 or 1

Sequences and series + Geo

Total questions: 15

Worksheet time: 8mins

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