Exploring Rational Expressions in Algebra I

The video tutorial covers arithmetic sequences, explaining how to identify them and use the formula to find specific terms. It includes examples of solving arithmetic sequence problems and interpreting word problems. Additionally, it discusses identifying patterns in video game scores using arithmetic sequences.

What is the formula for finding the nth term in an arithmetic sequence?

• a_n = a_1 - d(n - 1)

• a_n = a_1 + d(n - 1)

• a_n = a_1 * d^n

• a_n = a_1 / d^n

In an arithmetic sequence, if the transition from one term to the next consistently involves adding 5, what is this number called?

• Variable increment

• Common difference

• Sequence step

• Arithmetic addition

What term describes a sequence where each term increases by a fixed amount from the previous term?

• Geometric sequence

• Arithmetic sequence

• Infinite series

• Linear progression

If an arithmetic sequence starts at -4 and each subsequent term adds 5, what is the 5th term?

• 16

• 11

• 21

• 6

If the first term of an arithmetic sequence is -4 and the common difference is 5, what is the 20th term?

• 101

• 86

• 91

• 96

If the common difference in an arithmetic sequence is -6, what is the next term after -29?

• -33

• -25

• -23

• -35

What is the common difference if the sequence progresses from -5 to -11?

• 6

• -5

• -6

• 5

Danielle drove 60 miles in the first hour and continues at 57 miles per hour. How far will she have driven after 8 hours?

• 516 miles

• 459 miles

• 482 miles

• 501 miles

How can you determine Tim's score after playing a video game n times if the first score is 4526 and the common difference is 73?

• 4526 * 73n

• 4526 / 73n

• 4526 + 73n

• 4526 + 73(n - 1)

What pattern is observed in Tim's scores over multiple gaming sessions?

• Multiplicative increase

• Reduction by 73

• Constant addition of 73

• Exponential growth