Algebra 2 Geometric Sequences and Series Quiz

What is the first step in identifying the pattern in Sandra's sequence?

• Divide the terms to find a common ratio.

• Multiply the terms by a constant.

• Subtract the terms from each other.

• Add the terms together.

What is the common ratio in Sandra's sequence?

• 2.0

• 0.5

• 0.8

• 1.2

Which formula represents the explicit equation for a geometric sequence?

• a_n = a_1 + (n-1)d

• a_n = a_1 * r^(n-1)

• a_n = a_1 / r^(n-1)

• a_n = a_1 - (n-1)d

How many feet of wire does Sandra have for her project?

• 30 feet

• 35 feet

• 40 feet

• 45 feet

What is the total number of pieces Sandra wants to cut?

• 25 pieces

• 20 pieces

• 15 pieces

• 10 pieces

Which formula is used to calculate the sum of a geometric series?

• S_n = n * a_1

• S_n = a * r^n / (1 - r)

• S_n = a * (1 - r^n) / (1 - r)

• S_n = n/2 * (a_1 + a_n)

How many inches of wire does Sandra need for her project?

• 494.23 inches

• 480 inches

• 500 inches

• 520 inches

How many inches of wire does Sandra actually have?

• 470 inches

• 460 inches

• 490 inches

• 480 inches

Does Sandra have enough wire for her project?

• Yes, she has exactly enough.

• No, she is short by several feet.

• No, she is short by a few inches.

• Yes, she has more than enough.

What is the main reason Sandra cannot complete her project as planned?

• She miscalculated the number of pieces.

• She cut the pieces too long.

• She does not have enough wire.

• She used the wrong formula for the sequence.