From $8

Sequences & Series (Set 2) Worksheet

Algebra 2 Math · printable worksheet (PDF) with answer key · 15 problems · CCSS HSF.BF.A.2, HSA.SSE.B.4

A printable algebra 2 sequences & series (set 2) practice worksheet with 15 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Show your work. Arithmetic: $a_{n} = a_{1} + (n - 1) d$ and $S_{n} = \frac{n}{2} (a_{1} + a_{n})$ . Geometric: $a_{n} = a_{1} r^{n - 1}$ and $S_{n} = a_{1} \frac{1 - r ^{n}}{1 - r}$ . Infinite geometric ( $∣ r ∣ < 1$ ): $S = \frac{a _{1}}{1 - r}$ .

1. Find the $12$ th term of the arithmetic sequence with $a_{1} = 5$ and common difference $d = 6$ .
2. Find the $6$ th term of the geometric sequence with $a_{1} = 3$ and common ratio $r = 2$ .
3. Write an explicit formula for the $n$ th term of the arithmetic sequence $8, 15, 22, 29, \dots$
4. Write an explicit formula for the $n$ th term of the geometric sequence $5, 15, 45, 135, \dots$

Plus 11 more problems and a full answer key in the PDF.

Unlock this worksheet

Get it with all of Algebra 2 Math for a one-time $8, or unlock the entire library (over 400 worksheets + 55 final tests, every grade) for $20. Yours forever.

See the free Algebra 2 samples →