Algebra 2 WorksheetsGrades 9–10–11–12

Arithmetic & Geometric Sequences and Series Worksheets

Find the nth term and partial sums of finite arithmetic and geometric sequences and series.

Arithmetic & Geometric Sequences and Series

Seed #104729

Name:

Date:

Find the requested term or series sum.

Find a₇ for the arithmetic sequence 8, 4, 0, −4, ... : ______

Find a₇ for the arithmetic sequence 10, 2, −6, −14, ... : ______

Find a₅ for the geometric sequence 2, 6, 18, 54, ... : ______

Find a₁₀ for the arithmetic sequence 9, 16, 23, 30, ... : ______

Find a₆ for the geometric sequence 1, 3, 9, 27, ... : ______

Find a₈ for the arithmetic sequence 4, −2, −8, −14, ... : ______

Find a₄ for the geometric sequence 4, 8, 16, 32, ... : ______

Find a₆ for the arithmetic sequence 5, 2, −1, −4, ... : ______

Find a₅ for the geometric sequence 5, 15, 45, 135, ... : ______

10)

Find a₈ for the arithmetic sequence 6, −1, −8, −15, ... : ______

11)

Find a₉ for the arithmetic sequence 2, 9, 16, 23, ... : ______

12)

Find a₄ for the geometric sequence 1, 2, 4, 8, ... : ______

Solve quadratic equations using the quadratic formula or completing the square for exact rational and simplified radical roots.

Grades 9–10–11

Add, subtract, and multiply complex numbers in a + bi form and simplify powers of the imaginary unit i.

Grades 9–10–11–12

Solve logarithmic and exponential equations for exact rational and integer solutions.

Grades 10–11–12

Factor polynomials to simplify rational expressions and add rational expressions with linear denominators.

Grades 10–11–12

Divide quadratic and cubic polynomials by linear binomials (x − r) with exact quotients and remainders.

Grades 9–10–11–12

Find composite functions f(g(x)) and algebraic inverse functions f⁻¹(x).

Grades 10–11–12

Add, multiply, find determinants, and compute inverses of 2×2 SVG matrices.

Grades 10–11–12