please answer to number 1 thank youu 1. Use mathematical induction to solve the following:1(a) Find a formula for1.212 251by examining the values of this expression for2.3п(п + 1)small valucs of n.(b) Show that 7" – 1 is a multiple of 6 for all n e N2. Suppose that a bank machine can dispense money in either 3$ or 10$ bills. Show that anyamount over 17$ could be dispensed with combinations of only the 3$ or the 10$ bills

a) f(n) = 11.2+12.3+...+1n(n+1)f(1) = 11.2 is TrueLet f(k) is truef(k) = 11.2+12.3+...+1k(k+1) =k…

1. Use mathematical induction to solve the following: 1 1 (a) Find a formula for 1 by examining the values of this expression for + +...+ 1.2 2.3 n(n + 1) small values of n. (b) Show that 7" – 1 is a multiple of 6 for all n e N

1. Use mathematical induction to solve the following: 1 1 (a) Find a formula for 1 by examining the values of this expression for + +...+ 1.2 2.3 n(n + 1) small values of n. (b) Show that 7" – 1 is a multiple of 6 for all n e N

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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please answer to number 1

thank youu

1. Use mathematical induction to solve the following:
1
(a) Find a formula for
1.2
12 25
1
by examining the values of this expression for
2.3
п(п + 1)
small valucs of n.
(b) Show that 7" – 1 is a multiple of 6 for all n e N
2. Suppose that a bank machine can dispense money in either 3$ or 10$ bills. Show that any
amount over 17$ could be dispensed with combinations of only the 3$ or the 10$ bills

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