Find the 16th term in the following sequence: 3, 5, 7, 9, 11

First find the nth term of the sequence. Start by finding the difference between each term:

3, 5, 7, 9, 11 - the difference between each is 2 therefore it is 2n but this alone gives the sequence: 2, 4, 6, 8...

Substitute n to fix this e.g. 2 x 1 = 2 so we must +1 to make the first term 3

This makes the nth term of the sequence 2n + 1

To find the 16th term substitute n with 16:

2 x 16 + 1 = 32 + 1 = 33 This is the final answer

Answered by Kate S. Maths tutor

10242 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make c the subject of the formula a=3c-12


Determine (27/8)^3/2


Write 𝑥²+6𝑥+11 in the form (𝑥+a)²+b.


Show that ((sqrt(18)+sqrt(2))^2)/(sqrt(8)-2) can be written in the form a(b + 2) where a and b are integers.


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
Cookie Preferences