Grade 11 · Algebra & functions

Sequences and series practice

Sequences and series is a grade 11 math skill aligned to Common Core standard HSF.BF.A.2: write arithmetic and geometric sequences both recursively and with an explicit formula, and use them to model situations. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 sequences and series problems our math games drill.

CCSS HSF.BF.A.215 questions in the bank

Sample questions

Try 8 for free

Question 1easy

Find the $4$ th term: $a_1 = 2$ , $d = 5$ .

$a_4 = 2 + 3(5) = 2 + 15 = 17$ .

Question 2easy

Find the sum: $3 + 6 + 12$ .

Geometric series with $a_1 = 3$ , $r = 2$ , $n = 3$ . Sum $= 3 + 6 + 12 = 21$ .

Question 3easy

Find the $4$ th term: $a_1 = 5$ , $d = 3$ .

$a_{4} = 5 + 3(3) = 14$ .

Question 4easy

Find the sum of $3$ terms: $a_1 = 8$ , $r = \dfrac{1}{2}$ .

Terms: $8, 4, 2$ . Sum $= 8 + 4 + 2 = 14$ .

Question 5easy

Find the $5$ th term: $a_1 = 1$ , $d = 6$ .

$a_{5} = 1 + 4(6) = 25$ .

Question 6easy

Find the sum: $2 + 4 + 8$ .

Geometric series: $2 + 4 + 8 = 14$ .

Question 7easy

Find the $4$ th term: $a_1 = 10$ , $d = -2$ .

$a_{4} = 10 + 3(-2) = 4$ .

Question 8easy

Find the sum: $1 + 3 + 9$ .

Geometric series: $1 + 3 + 9 = 13$ .

Tests that cover sequences and series:

SBAC ACT PARCC NY State Math NC EOG/EOC

More Grade 11 skills:

Logarithm rules Geometric sequence equations Function transformations Exponential and log formulas Complex number operations Binomial theorem and factorials Conic sections All Grade 11 practice →

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