Σ r=1 γι 2η Σ 312 erms of n and in its simplest form. 1+2+3+...+ 80 3+ 12 + 27 + + 4800 2 significant figures.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 50E: Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation...
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Question
3
(a) Find
Hence evaluate
(b) By writing
Give your answer in terms of n and in its simplest form.
2
(r + 1) (r + 3)
to show that
4n
[₁
r=1
1+ 2+ 3+
3+ 12 + 27 +
giving your answer to 2 significant figures.
In this question, 1 mark will be given for the correct use of significant figures.
r = 1
as
T +
1
r + 1
2n
[³
r = 1
2
(r + 1)(r + 3)
372
1
r+ 3
where a and b are integers to be found.
+80
+ 4800
use the method of differences
n(an + b)
6(n + 2)(n+3)
Transcribed Image Text:(a) Find Hence evaluate (b) By writing Give your answer in terms of n and in its simplest form. 2 (r + 1) (r + 3) to show that 4n [₁ r=1 1+ 2+ 3+ 3+ 12 + 27 + giving your answer to 2 significant figures. In this question, 1 mark will be given for the correct use of significant figures. r = 1 as T + 1 r + 1 2n [³ r = 1 2 (r + 1)(r + 3) 372 1 r+ 3 where a and b are integers to be found. +80 + 4800 use the method of differences n(an + b) 6(n + 2)(n+3)
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