Free Printable Review Sequences and Series

1.

What kind of sequence is it?
$3,\ 3^2,\ 3^3,\ 3^4,\ .\ .\ .$

a)

Cube number sequence

b)

Multiple of three sequence

c)

Arithmetic Sequence

d)

Geometric Sequence

e)

Indices Sequence

2.

Find the next term of this sequence:

10, 8, 5, 1, . . .

a)

-6

b)

-5

c)

-4

d)

-3

3.

Find the $U_{n\ }$ formula of the sequence:
$3,\ 14,\ 25,\ 36,\ .\ .\ .$

a)

$U_n=3-11\left(n-1\right)$

b)

$U_n=3\ +\ 14\left(n-1\right)$

c)

$U_n=3\ +\ 11\left(n-1\right)$

d)

$U_n=n\ +3\left(14-1\right)$

4.

Find the 23rd term of the sequence:
$-7,\ -5,\ -3,\ .\ .\ .$

a)

35

b)

36

c)

37

d)

39

5.

Choose all the correct statements from the following options below.

a)

S₁(Series) is the same with U₁(Sequence)

b)

S₇ - S₆ will result U₇

c)

we can't find the series (the sum) if the given numbers are in a sequence form.

d)

$S_n=3n^{2\ }-\ 4n$ is the series formula for a geometric sequence.

e)

Rectangular sequence and triangular sequence are two of many examples of Arithmetic Sequence with constant second difference.

6.

Find the 11th term of the sequence:

10,\ 20,\ 40,\ .\ .\ .

a)

10240

b)

5120

c)

20480

d)

2560

7.

Find the sum of the first 50 numbers in this sequence:

\frac{1}{2}+\ 1+\frac{3}{2}+2+\frac{5}{2}+\ 3+.\ .\ .

a)

635.5

b)

625

c)

625.5

d)

637.5

8.

Find the sum of the first 15 numbers in this sequence:

\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+.\ .\ .

a)

$\left(\frac{1}{2}\right)^{-15}$

b)

$2^{-15}$

c)

$\left(\frac{1}{2}\right)^{14}$

d)

$2^{14}$

9.

Fill in the gaps in this arithmetic sequence: -12, ___, ___, ___, ___, ___, 12

(Use format: Number1, number2, number3, . . .)

(a)

10.

An arithmetic series has a sum of 9. The first term is 13 and the difference is -3. How many terms in the series?

(Write only number)

(a)

11.

There are 20 rows of seats on a concert hall:

25 seats are in the 1st row,

27 seats on the 2nd row,

29 seats on the 3rd row, and so on.

If the price per ticket is Rp23 000, how much will be the total sales for a one-night concert if all seats are taken?

(write only number, don't need to use space or the "Rp")

(a)

12.

Sonia has 55 blocks. She decides to stack up all the blocks so that each row has one less block than the row below. She wants to end up with just 1 block on top. How many should she put in the bottom row?

(Write only number)

(a)

13.

This arithmetic sequence has constant second difference.
Find the Un Formula of this sequence: $10,\ 8,\ 8,\ 10,\ 14,\ 20,\ .\ .\ .$

a)

$n^2-5n\ +\ 10$

b)

$n^{2\ }+5n\ +\ 14$

c)

$n^2\ -\ 3n\ +\ 12$

d)

$n^2-5n\ +\ 14$

14.

What topic do you need to discuss more with your teacher in the next meeting in the review session?

a)

Arithmetic and Geometric Sequence

b)

Arithmetic and Geometric Series

c)

Problem Solving involving Sequences and Series

d)

Arithmetic sequence with constant second difference

15.

Write your constructive feedback / evaluation for our lesson for this chapter.

You may give a suggestion for a better learning activity for our next chapter.

Thank you and God bless you. ^^

4 lines

Review Sequences and Series

Total questions: 15

Worksheet time: 43mins

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