Abeka 2022-2023, Algebra II, Quiz 34

(Write the correct answer.) Find the next term in the following geometric sequence: 3, -12, 48, . . . .

-192

(Write the correct answer.) Find the sum of the first 2 terms of a geometric sequence if a = 2 and r = 4. Use the formula sₙ = ₐ(1-rⁿ)/1 - r

10

(Write the correct answer.) Find the fourth term of a geometric sequence if a = 6 and r = 2. Use the formula aₙ = aⁿ⁻¹

48

(Write the answer in the blank.) What is the name of a geometric sequence whose terms change between positive and negative?

alternating (sequence)

(Write the answer in the blank.) In a geometric sequence, what is the name for the constant multiplied by each term to find the next term?

common ratio

(converging or diverging?) 64, 16, 4, 1, . . . .

converging

(converging or diverging?) 1/4, 1/2, 1, 2, . . . .

diverging

(converging or diverging?) 7, -14, 28, -56, . . . .

diverging

(Write the answer in the blank.) What type of geometric series never reaches and end?

infinite

(Solve the word problem.) A patient receives 10 mL of medicine every day at the same time. If 50% of the medicine metabolizes during the day, how much medicine will be left in his body after 3 days?

8.75 mL