Understanding Arithmetic Sequences Concepts

This video tutorial covers arithmetic sequences, explaining how to write terms, graph sequences, and identify them from graphs. It also demonstrates how to express sequences as functions and find specific terms using formulas. The tutorial concludes with a real-life application of arithmetic sequences in online bidding.

What is an arithmetic sequence?

• A sequence where each term is a multiple of the previous term.

• A sequence where each term is the sum of the previous two terms.

• A sequence where each term is the square of the previous term.

• A sequence where each term is obtained by adding a constant to the previous term.

What is the common difference in an arithmetic sequence?

• The sum of all terms in the sequence.

• The difference between each pair of consecutive terms.

• The difference between any two non-consecutive terms.

• The difference between the first and last term.

How do you find the next term in an arithmetic sequence?

• Multiply the previous term by the common difference.

• Add the common difference to the previous term.

• Subtract the common difference from the previous term.

• Divide the previous term by the common difference.

What type of relationship does an arithmetic sequence have when graphed?

• Cubic

• Exponential

• Quadratic

• Linear

How can you identify an arithmetic sequence from a graph?

• The points form a straight line.

• The points form a curve.

• The points form a circle.

• The points are scattered randomly.

What is the formula for the nth term of an arithmetic sequence?

• a_n = a_1 / n + d

• a_n = a_1 - (n - 1) * d

• a_n = a_1 * n + d

• a_n = a_1 + (n - 1) * d

How can you find the 50th term of an arithmetic sequence?

• By adding the common difference 50 times to the first term.

• By using the formula a_n = a_1 + (n - 1) * d with n = 50.

• By subtracting the common difference 50 times from the first term.

• By multiplying the first term by 50.

What is the domain of a function representing an arithmetic sequence?

• All integers

• All negative integers

• All positive integers

• All real numbers

In a real-life scenario, if a bid increases by a constant amount each time, what type of sequence does this represent?

• Fibonacci sequence

• Arithmetic sequence

• Harmonic sequence

• Geometric sequence