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AQA A-level Maths Introduction to sequences

Introduction to sequences

This page covers the following topics:

1. Series

A series is the sum of the terms of a sequence up to its nth term. It is denoted by Sn and is expressed as:

Series

1

What is the term of the sequence Un = 5n βˆ’ 2 given by the expression βˆ‘β·β‚ Un βˆ’ βˆ‘βΆβ‚ Un?

What is the term of the sequence Un = 5n βˆ’ 2 given by the expression βˆ‘β·β‚ Un βˆ’ βˆ‘βΆβ‚ Un?

2

Given the sequence Un = 2n, is the series Sβ‚… = 2 + 4 + 6 + 8 βˆ’ 10 + 12 a series for the sequence Un?

Given the sequence Un = 2n, is the series Sβ‚… = 2 + 4 + 6 + 8 βˆ’ 10 + 12 a series for the sequence Un?

3

What is the sum of the first 5 terms of the sequence Un = 7n βˆ’ 3?

What is the sum of the first 5 terms of the sequence Un = 7n βˆ’ 3?

4

Adam eats 5 apples in a week, 3 apples the next and 1 apple the week after. How many apples has Adam eaten in the past 3 weeks?

Adam eats 5 apples in a week, 3 apples the next and 1 apple the week after. How many apples has Adam eaten in the past 3 weeks?

5

What basic operation does βˆ‘ perform?

What basic operation does βˆ‘ perform?

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