# Maths-Algebra: Sequences (nth Term)

### Description

Mind Map on Maths-Algebra: Sequences (nth Term), created by Edward Corke on 11/22/2014.
Mind Map by Edward Corke, updated more than 1 year ago Created by Edward Corke about 9 years ago
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## Resource summary

Maths-Algebra: Sequences (nth Term)
1. Finding the nth Term
1. nth: 1 2 3 4
1. term: 5 8 11 14
1. Formula:
1. nth term = dn + (a - d)
1. d is the common difference and a is the first term
2. --> +3 -->
1. The difference between the numers is 3, so 3n is the formula.
1. 3n: 3 6 9 12
1. +2
1. You have +2 to get to the term
2. Term: 5 8 11 14
3. So the expression for the nth term is 3n + 2
2. Deciding if a Term is in a Sequence
1. Example:
1. The nth term of a sequence is given by n^2 - 2.
1. Find the 6th term in the sequence.
1. put n=6 into the expression:
1. 6^2 - 2 = 36 - 2
1. = 34
2. Is 45 a term in the sequence?
1. Set it equal to 45... n^2 - 2 = 45
1. n^2 = 47
1. n = √47 = 6.8556...
1. n is not a whole number, so 47 is not in the sequence: n^2 - 2

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