MarcKrishkeTest4Math1540

MarcKrishkeTest4Math1540 - Math 1540 Test 2: Chapters 7 and...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1540 Test 2: Chapters 7 and 8 4/26/10 Name: 10-points each 1.) Starting with 0 n = , write up to 9 n = of Pascal’s triangle. Be sure to list each row by name. 1 0 1 1 1 1 2 1 2 1 3 3 1 3 1 4 6 4 1 4 1 5 10 10 5 1 5 1 6 15 20 15 6 1 6 1 7 21 35 35 21 7 1 7 1 8 28 56 70 56 28 8 1 8 1 9 36 84 126 126 84 36 9 1 9
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2.) Use Pascal’s triangle and the binomial theorem to expand the following. a . ) ( 29 5 5 4 3 2 2 3 4 5 5 4 3 2 2 3 4 5 5 4 3 2 2 3 4 5 5 4 3 2 5 5 5 5 3 (3 ) (3 ) (3 ) (3 ) (3 ) 1 2 3 4 5! 5! 5! 5! 243 81 27 9 3 1!4! 2!3! 3!2! 4!1! 243 5 81 10 27 10 9 5 3 243 405 270 90 t s t t s t s t s t s s t t s t s t s ts s t t s t s t s ts s t t s t s         - = - + - + -                 = - + - + - = - ⋅ + - + ⋅ - = - + - 2 3 4 5 15 t s ts s + - b.) ( 29 4 4 3 2 2 3 4 2 3 4 2 3 4 2 3 4 4 4 4 3 2 3 3 (2 ) 3 (2 ) 3(2 ) (2 ) 1 2 3 4! 4! 4! 81 27(2 ) 9 4 3 8 16 1!3! 2!2! 3!1! 81 4 54 6 36 4 24 16 81 216 216 96 16 z z z z z z z z z z z z z z z z z       - = - + - +             = - + ⋅ ⋅ - ⋅ ⋅ + = - ⋅ + ⋅ - ⋅ + = - + - + 3.) Write the first five terms of the given sequence. ( 29 2 .) 2 3 n a a n = + a 1 = (2 1 + 3) 2 = (2 + 3) 2 = 5 2 = 25 a 2 = (2 2 + 3) 2 = (4 + 3) 2 = 7 2 = 49 a 3 = (2 3 + 3) 2 = (6 + 3) 2 = 9 2 = 81 a 4 = (2 4 + 3) 2 = (8 + 3) 2 = 11 2 = 121 a 5 = (2 5 + 3) 2 = (10 + 3) 2 = 13 2 = 169 ( 29 2 .) 5 4 100 n
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

MarcKrishkeTest4Math1540 - Math 1540 Test 2: Chapters 7 and...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online