e.) Complete the table: Triangular | The same as adding the number Each staircase takes up half of the rectangle. ½ of a 2x3 rectangle =(2x3)= ½ (6)=3 ½ of a 3x4 rectangle =(3x4)=½(12)=6 numbers.... = 1+2 T2= 3 T3 = 6 =1+2+3 T4 = 10 =1+2+3+4 2 of a _x- T5 = %3D ½ of a _x_ = T10 = T100 = Fill in the blanks, using n instead of numbers. 2 of a (tip: see part f) Tn %3D ble below. ber The sa n(n+1) f.) The formula for a triangular number Tn last box, but written in a different way. Write both formulas, and use circles and arrows to show where you see the same elements. is the same as the formula in the %3D
e.) Complete the table: Triangular | The same as adding the number Each staircase takes up half of the rectangle. ½ of a 2x3 rectangle =(2x3)= ½ (6)=3 ½ of a 3x4 rectangle =(3x4)=½(12)=6 numbers.... = 1+2 T2= 3 T3 = 6 =1+2+3 T4 = 10 =1+2+3+4 2 of a _x- T5 = %3D ½ of a _x_ = T10 = T100 = Fill in the blanks, using n instead of numbers. 2 of a (tip: see part f) Tn %3D ble below. ber The sa n(n+1) f.) The formula for a triangular number Tn last box, but written in a different way. Write both formulas, and use circles and arrows to show where you see the same elements. is the same as the formula in the %3D
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 16E: Does the relation is less than for a numbers have a reflexive property consider one number? A...
Related questions
Question
100%
![e.) Complete the table:
Triangular | The same as adding the
number
Each staircase takes up half of the
rectangle.
2 of a 2x3 rectangle =(2x3)=½ (6)=3
2 of a 3x4 rectangle =(3x4)=½(12)=6
numbers....
T2= 3
T3 = 6
= 1+2
=1+2+3
T4 = 10
=1+2+3+4
2 of a
_X_
T5 =
2 of a
_x__3D
T10 =
T100 =
Fill in the blanks, using n instead of
numbers.
Tn
ble below.
The same aS
lo½ of a
(tip: see part f)
n(n+1)
f.) The formula for a triangular number Tn
is the same as the formula in the
%3D
last box, but written in a different way. Write both formulas, and use circles and
arrows to show where you see the same elements.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd5c79e5-70ae-4a6c-8880-f3d5d9d15fc2%2F615122a4-87fa-4fce-8b1e-ae38218f3fc1%2Fakfl6t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:e.) Complete the table:
Triangular | The same as adding the
number
Each staircase takes up half of the
rectangle.
2 of a 2x3 rectangle =(2x3)=½ (6)=3
2 of a 3x4 rectangle =(3x4)=½(12)=6
numbers....
T2= 3
T3 = 6
= 1+2
=1+2+3
T4 = 10
=1+2+3+4
2 of a
_X_
T5 =
2 of a
_x__3D
T10 =
T100 =
Fill in the blanks, using n instead of
numbers.
Tn
ble below.
The same aS
lo½ of a
(tip: see part f)
n(n+1)
f.) The formula for a triangular number Tn
is the same as the formula in the
%3D
last box, but written in a different way. Write both formulas, and use circles and
arrows to show where you see the same elements.
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