Free TMUA sample

Sequences and series

Topic practice · Paper 1 · Foundation

This free ExamAlly page is a TMUA sequences and series practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Sequences and series, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

Matching revision guide: Read the Sequences & series TMUA revision guide

A sequence (un)(u_n) is defined by u1=2u_1=2 and un+1un=3n+1u_{n+1}-u_n=3n+1 for n1n \ge 1. Which formula for unu_n is correct for all n1n \ge 1?