HSF.BF.A.2 Tutor Intake — Arithmetic and Geometric Sequences

Each term is obtained by multiplying the previous term by a fixed number.

Each term is obtained by adding a fixed number to the previous term.

Each term is the square of its position number.

Each term grows faster than the previous term.

This is an arithmetic sequence with common difference $d = 3$.

This is a geometric sequence with common ratio $r = 3$.

This is an arithmetic sequence with common difference $d = 4$.

This is a geometric sequence with common ratio $r = 4$.

$a_n = 5 + 3n$

$a_n = 5 + 3(n-1)$

$a_n = 5 \cdot 3^{n-1}$

$a_n = 3 + 5(n-1)$

$a_n = 6 \cdot 2^n$

$a_n = 6 \cdot 2^{n-1}$

$a_n = 6 + 2(n-1)$

$a_n = 2 \cdot 6^{n-1}$

$a_n = 7 + 4n$

$a_n = 4 + 7(n-1)$

$a_n = 7 + 4(n-1)$

$a_n = 7 \cdot 4^{n-1}$