Still Confused?

Try reviewing these fundamentals first.

Algebra

Arithmetic sequencesStill Confused?

Try reviewing these fundamentals first.

Algebra

Arithmetic sequencesStill Confused?

Try reviewing these fundamentals first.

Algebra

Arithmetic sequencesNope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 1a3:39
- Lesson: 1b7:02
- Lesson: 1c4:35
- Lesson: 26:59
- Lesson: 39:57

A geometric sequence, also called geometric progression, is a number sequence with a common ratio between successive terms. A term in a geometric sequence can be found by multiplying the previous one by a non-zero and fixed number (a common ratio).

Basic concepts: Arithmetic sequences,

Related concepts: Pascal's triangle, Binomial theorem, Introduction to sequences, Monotonic and bounded sequences,

• geometric sequence: a sequence with a common ratio between successive terms.

• the nth term, ${t_n}$ ,of a geometric sequence:

${t_n}\; = \;{t_1} \cdot {r^{n - 1}}$

where, ${t_n}$ : nth term

${t_1}$ : first term

r : common ratio

• the nth term, ${t_n}$ ,of a geometric sequence:

${t_n}\; = \;{t_1} \cdot {r^{n - 1}}$

where, ${t_n}$ : nth term

${t_1}$ : first term

r : common ratio

- 1.
**Geometric sequence formula**

Consider the geometric sequence: 2, 6, 18, 54, … .a)Identify the common ratio.b)Determine the sixth term of the sequence.c)Which term in the sequence has a value of 39366? - 2.Determine $t_1,r,t_n$ for the sequences in which two terms are given:

$t_3=18$, $t_6=486$ - 3.Three consecutive terms of a geometric sequence are written in the form

$5(x+2),8-x,x-2$

Find the common ratio and the possible value of each of the three terms.

We have over 1100 practice questions in Algebra 2 for you to master.

Get Started Now