# Hotmath Practice Problems

Title:
Hotmath Algebra 2
Author:
Hotmath Team
Chapter:Sequences and SeriesSection:Arithmetic Sequences and Series

Problem: 1

Determine whether the sequence is arithmetic. Give reason for your judgment.

12, 10, 8, 6, 4, ...

Problem: 3

Determine the next four terms in the arithmetic sequence 9 19, 29, 39, ....

Problem: 5

Find the arithmetic mean of the given pair of numbers:

Problem: 7

Calculate the missing terms in the arithmetic sequence, if a1 = 6, and a5 = 66.

Problem: 9

If a1 = –5, d = –8, find a formula for the nth term of the sequence.

Problem: 11

If a1 = 4, a3 = 13, find a formula for the nth term of the sequence.

Problem: 13

Find a formula for the nth term of the arithmetic sequence: –2, –8, –14, –20, .....

Problem: 15

If a1 = 3/2, d = –5/2, n = 9, find the nth term of the arithmetic sequence.

Problem: 17

Determine the recursive and explicit formulas for the sequence –18, –8, 2, 12...

Problem: 19

Calculate the 30th term of the sequence –4, –2.6, –1.2, 0.2, .....

Problem: 21

Find a1 of the given arithmetic sequence:

a5= 18, a9 = 30

Problem: 23

Find a25 of the given arithmetic sequence:

a7= –14, a10 = –20.

Problem: 25

Find the number of terms in the arithmetic sequence:

8,12, 16, 20, ..........,400

Problem: 27

Complete the statement.

92 is the __th term of –4, 4, 12, ...

Problem: 29

Draw the graph of the arithmetic sequence.

an = 5 – 2n

Problem: 31

List all the terms in the given arithmetic series.

2 + 7 + 12 + ......+ 32

Problem: 33

Find the 100th term of the given arithmetic series:

3 + 8 + 13 + 18 + .......

Problem: 35

Find the sum of series if a1 = 2, an = –16, n = 6.

Problem: 37

Find the sum of the given arithmetic series:

6 + 12 + 18 + 24 + ...72

Problem: 39

Find the sum of the given series up to 100th terms:

3 + 8 + 13 + 18 + .......

Problem: 41

Find the number of terms, the first term and the last term for

Find the sum.

Problem: 43

Find the number of terms, the first term and the last term for

Find the sum.