Still Confused?

Try reviewing these fundamentals first.

- Home
- AU Year 12 Maths
- Sequences and Series

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, 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: 1a3:09
- Lesson: 1b3:01
- Lesson: 1c7:05
- Lesson: 2a4:24
- Lesson: 2b5:46
- Lesson: 35:27

An arithmetic sequence (arithmetic progression) is a number sequence with a common difference between successive terms. By using the arithmetic sequence formula, we can easily find the value of a term and the common difference in the sequence.

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

• arithmetic sequence: a sequence with a common difference between successive terms

• The nth term, ${t_n}$ ,of an arithmetic sequence:

${t_n} = {t_1} + \left( {n - 1} \right)d$

where, ${t_n}$: nth term

${t_1}$: first term

$d$ : common difference

• The nth term, ${t_n}$ ,of an arithmetic sequence:

${t_n} = {t_1} + \left( {n - 1} \right)d$

where, ${t_n}$: nth term

${t_1}$: first term

$d$ : common difference

- 1.
**Arithmetic sequence formula**

Consider the arithmetic sequence: 5, 9, 13, 17, … .a)Identify the common difference.b)Determine the seventh term of the sequence.c)Which term in the sequence has a value of 85? - 2.Determine $t_1,d,t_n$ for the sequences in which two terms are givena)$t_4=14$, $t_{10}=32$b)$t_3=-14$, $t_{12}=-59$
- 3.Three consecutive terms of an arithmetic sequence are written in the form:

$1+2x,7x,3+4x$

Solve for the value of x.

We have over 1040 practice questions in AU Year 12 Maths for you to master.

Get Started Now