Number patterns

Practice 5 items →

A sequence is a function whose inputs are 1, 2, 3, …. Students write the nth term of an arithmetic sequence, recognize a common ratio, use triangular and square numbers, and match a growing diagram to a formula.

Specification · for a parent or teacher

Part no.: sequences-patterns-7
Course: Advanced Math 7 · Unit 9
Realm: Change
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

$T_n = a+(n-1)d$ ; common ratio in a geometric list; triangular $T_n=\frac{n(n+1)}{2}$ , square, pentagonal; match a growing diagram to a formula.

Ready when

5th and $n$ th term of $7, 12, 17, \ldots$ and the 8th triangular number.

Formulas

Arithmetic term

T_n = a + (n-1)d

Triangular numbers

T_n = \frac{n(n+1)}{2}

Watch for

$T_n$ written as $n+d$ ; triangular numbers as $n^2$ .

Before · requires

Introduction to algebraalgebra-foundations-7 · Math 7

After · used by

Patterns, sequences, and seriesarithmetic-geometric-sequences · Math 1

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