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.

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

Answered by Tom P. Maths tutor

8298 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

For the equation y=2x+7, what is the gradient and the y intercept?


Find the length of a side of the triangle (Pythagoras' Theorem) Two sides are of length 3cm and 4cm, find the length of the Hypotenuse.


x^2 + 6x + 8


y is proportional to x^2. When y=45, x=3. Find a formula for y in terms of x.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy