Find the nth term of the sequence 7,11,15,19...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequence, there is a difference of four between each term: 11-7=4, 15-11=4, etc. This means that the nth term is going to look something like 4n+6, or 4n-3, but we need to be sure of the number we are adding or subtracting at the end. The first term (n=1) is seven. So we know that 4(1) + something = 74(1)=4x1=44+something=7and subtracting 4 from both sides gives us 3. So the nth term is 4n+3. To check our answer, we can check another term. The fourth term (n=4) is 19, so putting n=4 in our formula should give 19.fourth term = 4(4)+3=16+3=19, which is what we wanted, so we can be sure that the nth term is indeed 4n+3.

JB
Answered by Joe B. Maths tutor

56332 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the values of x and y using the simultaneous equations: x+y=11, y-6=15


Find the coordinates where the curve y=x^2+6x+5 crosses the x-axis.


When rolling two dice, what is the probability of rolling 7?


Two shops have deals for purchasing pens: "3 for £2" and "5 for £3" . Mr. Papadopoulos wants to buy 30 pens for his class in school, which deal should he use if he wants to spend the least amount of money possible, and how much will he spend?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning