It is given that u r r x r for r 1, 2, 3, Let S n u 1 u 2 u 3 u n Write down the values of 2 S 1 , 3 S 2 , 4 S 3 , 5 S4 Conjecture a formula for S n Prove, by mathematical induction, a formula for S n , for all positive integers n ...

If a expression found for Sn we will use this formula for n ...

It is given that u r = r x r! for r = 1, 2, 3, ....

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It is given that u_r = r x r! for r = 1, 2, 3, .... Let S_n = u₁ + u₂ + u₃ + … + u_n. Write down the values of 2! – S₁, 3! - S₂, 4! - S₃, 5! - S4.

Conjecture a formula for S_n.

Prove, by mathematical induction, a formula for S_n, for all positive integers n.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 24, 2021 12:51 AM

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It is given that u r = r x r! for r = 1, 2, 3, ....

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Cambridge International AS & A Level Further Mathematics Coursebook

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