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Linear Sequence
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This document is all about. It talks about the main types of Linear Sequences and depicts ways to draw a linear graph with the coordinates provided. These are very useful for KS3 and GCSE.
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Linear SequenceDecreasing Linear Sequence
Q - 5th term 63, decreases by 7 each time
_ , _ , _ , _ , 63 , _
Move -7 each time further:
o 63 - 7 = 56
The previous term before 63 would be +7:
o 63+ 7 = 70
Some greater number = C
Nth term = C - 7n
If I want to verify the sequence; let’s say the 5th term =
C - (7*5) = 63
C - 35 = 63
C = 63 + 35
C = 98
Thus, answer for this Q is ‘98-7n’.
To find the linear sequence, follow these steps:
1. Find the difference between the numbers.
2. The number found after the difference should be put in front of ‘n’. E.g.: 5n
3. Finally, to find the last part of the sequence, subtract the value found after the
differences (done above) from the 1st number in the sequence.
4. So, the n term is written!
When solving linear equations, we are trying to find the value of the unknown.
Whatever we do to one side of the equation, we must do to the other.
Linear Graph
Gradient formula:
Gradient = Y/X
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