TMUA Style, Advanced (Paper 1)

TMUA Style Questions · Mathematical Knowledge · Advanced

This free ExamAlly page is a full TMUA Style practice question for students preparing for the TMUA (Test of Mathematics for University Admission). It mirrors the multi-topic style of the real exam: you choose a method, work through every option, and review a step-by-step solution—no account required.

Independent practice material, not affiliated with official TMUA organisers.

A geometric progression has first term $a>0$ and common ratio $r$ .The 3rd, 4th and 6th terms are consecutive terms of an arithmetic progression (in that order), and the sum of the 3rd and 4th terms is $18$ .The geometric progression is stated to have a sum to infinity.What is the value of $S_\infty$ ?

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