Arithmetic and Geometric Sequences

Front

Every 3 days, a young tree grows by a certain height. The sequence of heights after each growth period is as follows: 2 cm, 5 cm, 8 cm, 11 cm, 14 cm. Identify the difference in height (in cm) the tree grows every 3 days.

Back

3 cm

Front

John is saving money every month. He starts by saving $10 in January, $15 in February, $20 in March, $25 in April, and $30 in May. Find the common difference in his savings pattern.

Back

5

Front

What is the common ratio of the geometric sequence: 3, 6, 12, 24, 48?

Back

2

Front

What is the common ratio of the geometric sequence: 2, 6, 18, 54, 162?

Back

3

Front

Calculate the 10th term of the arithmetic sequence: 4, 7, 10, 13, 16

Back

31

Front

Imagine you're saving money and you decide to double the amount you save each day starting with $2 on the first day. How much money will you have saved in total by the end of the fifth day?

Back

$62

Front

Sequence of water levels for the next 12 hours: 15, 12, 9, 6, 3

Back

arithmetic

Front

What is the common difference in John's monthly savings sequence if it starts at $4, then goes to $0, -$4, -$8, and -$12?

Back

-4

Front

Identify the sequence: 5, 10, 20, 40, 80

Back

geometric

Front

Find the common ratio in the geometric sequence: 81, 27, 9, 3, 1

Back

1/3