Sequences and Series Test – Algebra 2 Math (Printable PDF)

Question 1 Classify and write a rule (2 points)

1. Classify 96, 48, 24, 12, … and give r or d. (1 point)
2. Write the explicit rule for 8, 13, 18, 23, … (1 point)

Question 2 Arithmetic sequence analysis (3 points)

An arithmetic sequence has a₁ = −8 and d = 5.5.

1. Write the explicit rule. (1 point)
2. Find a₄₀. (1 point)
3. Which term equals 47? (1 point)

Question 3 Recursive terms (2 points)

A sequence has a₁ = 5 and a_n = 3a_n−1 − 4. List the first four terms.

Question 4 Geometric sequence from a graph (3 points)

The graph shows the first four terms of a geometric sequence.

1. Find the common ratio. (1 point)
2. Write the explicit rule. (1 point)
3. Find a₆. (1 point)

Question 5 Arithmetic series (2 points)

Find 15 + 19 + 23 + … + 95.

Question 6 Geometric sigma sum (2 points)

Evaluate ∑_k=1⁶ 5(0.4)^k−1 to the nearest hundredth.

Question 7 Write and evaluate a sigma sum (2 points)

Write 5 + 9 + 13 + … + 57 in sigma notation and find its sum.

Question 8 Savings plan (2 points)

Theo deposits $150 at the end of each month into an account earning 0.4% per month. Find the balance after 30 deposits.

Question 9 Stacked pipes (2 points)

Pipes are stacked in 8 rows. The bottom row has 20 pipes and each row above has 2 fewer. The bars show the rows.

How many pipes are there in all?