Let C(n) be the constant term in the expansion of (x + 7)". Prove by induction that C(n) = 7 for all n E N. (Induction on n.) The constant term of (x + 7)¹ is = 7⁰ Suppose as inductive hypothesis that the constant term of (x + 7)k-1 is Then (x + 7) = (x + 7)k-1. so its constant term is for some k > 1. -7= as required.
Let C(n) be the constant term in the expansion of (x + 7)". Prove by induction that C(n) = 7 for all n E N. (Induction on n.) The constant term of (x + 7)¹ is = 7⁰ Suppose as inductive hypothesis that the constant term of (x + 7)k-1 is Then (x + 7) = (x + 7)k-1. so its constant term is for some k > 1. -7= as required.
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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