It is given that u r = r x r! for r = 1, 2, 3, ....
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It is given that ur = r x r! for r = 1, 2, 3, .... Let Sn = u1 + u2 + u3 + … + un. Write down the values of 2! – S1, 3! - S2, 4! - S3, 5! - S4.
Conjecture a formula for Sn.
Prove, by mathematical induction, a formula for Sn, for all positive integers n.
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If a expression found for Sn we will use this formula for n ...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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