Exploring Adding and Subtracting Rational Expressions

What is an arithmetic sequence?

• A sequence where the ratio between consecutive terms is constant.

• A sequence where the difference between consecutive terms is constant.

• A sequence where the sum of consecutive terms is constant.

• A sequence where the product of consecutive terms is constant.

What is the common difference in the sequence 5, 9, 13?

• 5

• 2

• 3

• 4

Is the sequence 2, 4, 7 an arithmetic sequence?

• Yes, with a common difference of 3.

• Yes, with a common difference of 2.

• No, it has a common ratio.

• No, it does not have a common difference.

What is the common difference in the sequence 8, 6, 4, 2?

• 4

• -4

• 2

• -2

What is the next term in the sequence 21, 25, 29?

• 31

• 33

• 35

• 37

Using the formula a_n = d(n-1) + a_1, what is the 19th term of the sequence with a_1 = 7 and d = 6?

• 113

• 115

• 119

• 117

What is the common difference in the sequence where a_1 = 30 and the terms decrease by 4 each time?

• -2

• -3

• -5

• -4

How far will a penny fall after 6 seconds if it falls 16 feet in the first second and increases by 32 feet each subsequent second?

• 208 feet

• 160 feet

• 176 feet

• 192 feet

What is the balance of Sara's loan after her first payment if the initial loan is $15,265 and she pays $295.80 each month?

• $14,969.20

• $14,965.20

• $14,970.20

• $14,960.20

What will be the balance of Sara's loan after 24 months?

• $8,170.80

• $8,165.80

• $8,160.80

• $8,155.80