A sequence increases by 5 each time and the first term is x. The sum of the first four terms is 54. Set up and solve an equation to work out the value of x.

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The first term is x, and if it increases by 5 each time then the second term is x+5, third is x+10, and the fourth is x+15.

Adding these values together we get 4x+5+10+15, and this equals 54.

Therefore; 4x+30=54.

Take 30 from both sides; 4x=24

Divide both sides by 4; x=6

Tom P. GCSE Maths tutor

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