Here is another way to work out E",-1r2. Observe that (r+1)3 -73 = 3r2 +3r+1. Hence E(r+1) -73 = 3 r2+3 E rtn. r=1 r=1 r-1 The left-hand side is equal to 2° – 1°) + (3³ – 2ª) + (4° – 3°)+.. + (n+1) -n°) = (n+1) – 1. %3D Hence we can work out 2=-1. Carry out this calculation, and check that your formula agrees with in ExerHUAWEI Nova 3i

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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your formula is correct.
Here is another way to work out E",-1r2. Observe that (r +1)3 -13 =
%3D
3r2 +3r+1. Hence
in
r+1)3-73 =3 22+3 2 rtn.
12 +3
rHn.
r-1
r-1
r-1
The left-hand side is equal to
23 – 1°) + (3³ – 2°) +(4³- 33)+..
+(n+1)³-n') = (n+1)³- 1.
%3D
Hence we can work out 2=I".
Carry out this calculation, and check that your formula agrees with
in EverciuAWEI NOva 3i
00
DUAL CAMERA
Transcribed Image Text:your formula is correct. Here is another way to work out E",-1r2. Observe that (r +1)3 -13 = %3D 3r2 +3r+1. Hence in r+1)3-73 =3 22+3 2 rtn. 12 +3 rHn. r-1 r-1 r-1 The left-hand side is equal to 23 – 1°) + (3³ – 2°) +(4³- 33)+.. +(n+1)³-n') = (n+1)³- 1. %3D Hence we can work out 2=I". Carry out this calculation, and check that your formula agrees with in EverciuAWEI NOva 3i 00 DUAL CAMERA
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