2016 JC1 Structured Remedial 1_APGP & Summation.docx -...

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TEMASEK JUNIOR COLLEGE2016 JC1 H2 MATHEMATICSStructured Remedial 1- APGP & Summation1The sum of the first nterms of a sequence is nS, where 1362nnS, nZ. (i)Prove that the sequence is a geometric progression.[3](ii)Find the sum of the next 2nterms. [2]2(i)Given that  121216nrnrnn, show that  nrrrnnnfor all positive integers n. [4]
,
(ii)Prove by the method of differences that 2(1)![3]1
(iii)Hence find 2131!nrrrrin terms of n. Give a reason why the series213

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