Still Confused?

Try reviewing these fundamentals first.

Algebra

Arithmetic sequences- Home
- NZ Year 11 Maths
- Sequences and Series

Still 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: 110:50
- Lesson: 29:04
- Lesson: 3a8:20
- Lesson: 3b2:22
- Lesson: 47:19

An arithmetic series is the sum of an arithmetic sequence. In this lesson, we will learn how to solve problems using the arithmetic series formula.

Basic concepts: Arithmetic sequences,

Related concepts: Pascal's triangle, Binomial theorem, Introduction to infinite series, Convergence and divergence of normal infinite series ,

• the sum of $n$ terms of an arithmetic series:

${s_n}$= $\frac{n}{2}[2{t_1} + (n - 1)d]$

= $\frac{n}{2}[{t_1} + {t_n}]$

${s_n}$= $\frac{n}{2}[2{t_1} + (n - 1)d]$

= $\frac{n}{2}[{t_1} + {t_n}]$

- 1.
**Arithmetic series formula**

Determine the sum of the first ten terms of the arithmetic series: 6 + 1 – 4 – 9 – … . - 2.
**Problem involving both arithmetic sequence formula and arithmetic series formula**

Find the sum of the arithmetic series: – 4 – 1 + 2 + …. + 329. - 3.
**$t_{n}=s_{n}-s_{n-1}$**

The sum of the first n terms of an arithmetic series is ${s_n} = 7{n^2} - 5n$ .a)Find the common difference.b)Determine the first six terms of the corresponding arithmetic sequence. - 4.A triangle has a perimeter of 32m; the shortest side is 6 m long. If the side lengths of this triangle form an arithmetic sequence, what are the other side lengths?

We have over 1400 practice questions in NZ Year 11 Maths for you to master.

Get Started Now