# Geometric Sequences $t_n=a(r)^{n-1}$

- 1Given the sequence: $$ 3,\: 6,\: 12... $$

Find the 7th term. - 2Given the sequence: $$1, -3,\; 9, -27...$$

Find the 8th term. - 3Given the sequence: $$80,\: 40,\: 20...$$

Find $t_6$. - 4Given the sequence: $$-729, \;243, -81...$$

Find $t_7$. - 5How many terms are in the geometric sequence:

$$2,\: 6, \:18\,...\,1458$$ - 6How many terms are in the geometric sequence:

$$3, \,6, \,12\,...\,384$$ - 7How many terms are in the geometric sequence:

$$4, -2,\: 1\,...\,\frac{1}{64}$$ - 8Find a, r, and $t_n$ for the following geometric sequence. Then find $t_{8}$.

$$t_3={36}\, \quad t_{6}=972$$ - 9Find a, r, and $t_n$ for the following geometric sequence. Then find $t_{9}$.

$$t_4={12}\, \quad t_{6}=192$$

Good test question! - 10Find a, r, and $t_n$ for the following geometric sequence. Then find $t_{8}$.

$$t_2={15} \, \quad t_{4}=135$$ - 11Find x so that the following are three terms of an geometric sequence.

$$x\, , \quad x+2\, , \quad x+3$$ - 12Find x so that the following are three terms of an geometric sequence.

$$x\, , \quad x+3\, , \quad 5x-3$$

Good test question! - 13Find x so that the following are three terms of an geometric sequence.

$$2x\, , \quad x+5 \, , \quad x-7$$ - 14Find $t_7$ given:

$$\frac{2}{3}, \frac{5}{6}, \frac{8}{12}, \frac{11}{24}...$$

Good test question!

(You need to use both arithmetic and geometric formulas)

$$e=mc^2$$