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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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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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.
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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