Geometric Sequence Review

Radical

Common difference

Common ratio

2, 4, 5, . . .

2, 6, 18, . . .

2, 4, 6, . . .

10, 20, 200, . . .

-6

6

12

-4

a_n = (125)(1/5)^(n-1)

a_n = 625(1/5)^(n-1)

a_n = 625(5)^(n-1)

a_n = 125 + 5n

a_n = 2(100)^n-1

a_n = 100(2)^n-1

a_n = 100(1/2)^n-1

a_n = (1/2)(100)^n-1

$$a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$$

$$a_n=8\cdot3^{\left(n-1\right)}$$

$$a_n=216-144\left(n-1\right)$$

$$a_n=216\cdot3^{\left(n-1\right)}$$

$$a_n=7+4\left(n-1\right)$$

$$a_n=7\cdot4^{\left(n-1\right)}$$

$$a_n=\frac{448}{4n}$$

$$a_n=28+84\left(n-1\right)$$

24

7,776

48

96

$$a_n=4\left(2\right)^{n-1}$$

$$a_n=4\left(-5\right)^{n-1}$$

$$a_n=3\left(-5\right)^{n-1}$$

$$a_n=3\left(2\right)^{n-1}$$

$$a_n=\left(-5\right)^{n-1}$$

$$a_n=-\left(-2\right)^{n-1}$$

$$a_n=-2\left(2\right)^{n-1}$$

$$a_n=-2\left(-2\right)^{n-1}$$