Change in Arithmetic and Geometric Sequences Quiz

What is the difference between a sequence and a function in terms of their graphs?

• There is no graphical difference between sequences and functions.

• Sequences are represented by circles, while functions are represented by squares.

• Sequences and functions are both represented by continuous lines.

• Sequences are represented by discrete points, while functions are continuous lines.

What is the common characteristic of successive terms in an arithmetic sequence?

• Each term is the square of the previous term.

• Each term is multiplied by a common ratio.

• Each term is obtained by adding a common difference to the previous term.

• Each term is obtained by dividing the previous term by a common number.

What is the common characteristic of successive terms in a geometric sequence?

• Each term is obtained by adding a common difference.

• Each term is the square root of the previous term.

• Each term is obtained by multiplying the previous term by a common ratio.

• Each term is obtained by subtracting a common difference.

Given an arithmetic sequence with a first term of 5 and a common difference of 3, find the 10th term.

• 32

• 30

• 28

• 27

Given a geometric sequence with a first term of 2 and a common ratio of 3, find the 7th term.

• 729

• 2187

• 486

• 1458

An arithmetic sequence starts with a first term of 4 and has a common difference of 2. Write the first five terms of this sequence.

• 4, 6, 8, 10, 12

• 4, 8, 12, 16, 20

• 2, 4, 6, 8, 10

• 4, 7, 10, 13, 16

A geometric sequence starts with a first term of 3 and has a common ratio of 2. Write the first five terms of this sequence.

• 3, 9, 27, 81, 243

• 3, 6, 12, 24, 48

• 6, 12, 24, 48, 96

• 3, 5, 7, 9, 11

Given a sequence denoted by a_n, where a_n = 2n + 1. Is this sequence arithmetic or geometric? Justify your answer.

• Geometric, because it has a common ratio of 2.

• Arithmetic, because it has a common difference of 2.

• Arithmetic, because it has a common ratio of 2.

• Geometric, because it has a common difference of 2.

Consider an arithmetic sequence where the 5th term is 8 and the 10th term is 18. Find the common difference.

• 1

• 5

• 2

• 3

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250