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WORKSHEET 1

Use

the

pattern to

fill in the missing

numbers

in

Pascal's triangle.

Shown below

are

portions of Pascal's triangle Fill

in

the missing

numbers

A

B C

D E F

Copyright © 1986 by Dale Seymour Publications P O Box 10888 Palo Alto CA 94303

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WORKSHEET 2

1. (a) Find thesum of the elements in

the 'first few rows ofPascal's

triangle. Fill in the following

table:

Row

Rowsum

(b)What is the pattern ofthe sums?

(c) Howcould you relate the rownumbertothesum of that row?

(d)Howwould you express the sum of the elements in the20throw?

the 100th row? the

nth

row?

2.

(a)

Where

is

the elementthatwill givethesumofthe first 4

elementsofthe 'first diagonal  1 + 2 + 3 + 4)?

Thefirst 5elementsofthe first diagonal?

(b)Where is the elementthatwill givethe sum of the first 4

elementsofthesecond diagonal  1 + 3 + 6 + 10)?

(c)

What is the pattern thatwill givethe sum ofanynumberof

elements in anydiagonal?

3. (a) Find the sumof  ll the elements in Pascal's triangle down to and

includingthe first 6 rows. Fill

in

the following table:

Row

Triangularsum

(b) If you see apattern, then you can fill

in

the following table

withoutadding all theelements.

Row  6  7 8 I9

10

Triangularsum

1

(c)What is the rule?

Copyright© 1986

by

DaleSeymourPublications P.O. Box 10888Palo Alto,

CA

94303

3

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CHART

P SC IJS TRI NGLE

Copyright 986 y ale Seymour Publications

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