Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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[画像:Instructions: Write out your solutions on a separate piece of lined paper. Under your name, write "discussed with" and the names of any other students in the class you discussed the problems. If none, then write "none". If you used any online resources, you must upload the website/videos used to Canvas as a comment. Copying a solution from an AI resource like ChatGPT is not allowed. You will submit your work to gradescope. See Canvas for submission instructions. Section 5.7 1+2+3+...+n= n(n+1) 2 1+1+2++"= ph+1-1 r-1 1. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. b1=1 and bk=bk-1+4k, for every integer k≥2 2. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. a2=1 and ak =ak-1+2*, for every integer k≥3 3. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. co=4 and ck=5ck-1+2, for every integer k ≥1 Section 6.1 4. Let U={a,b,c,d,e,f,g,h) and let A= {a,d,e,f), B={b,e,g) and C={a,b,c,e,h). Find a. An Be b. An (B-C) c. AU (BUC) 5. Determine whether the statements are true or false. Justify your answer. a. The sets A and B defined below are disjoint. A={neZ|n=4k+3 for some k€Z). B={meZ|m=2k+1 for some k€Z). b. The sets C and D defined below are disjoint. C={neZ|n=5k+8 for some k€Z). D={m€Z|m=5k-11 for some k€Z). c. {{a,c,d,h),(b,e,j),f,i,g}} is a partition of (a,b,c,d,e,f,g,h,i,j). d. {{a,i,c},{d,g,e),(fj,i},{b,h}} is a partition of (a,b,c,d,e,f,g,h,i,j). e. {Z*,Z-} is a partition of Z. 000 Dashboard Calendar To-do 7 D Notifications Inbox]
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Transcribed Image Text:Instructions: Write out your solutions on a separate piece of lined paper. Under your name, write "discussed with" and the names of any other students in the class you discussed the problems. If none, then write "none". If you used any online resources, you must upload the website/videos used to Canvas as a comment. Copying a solution from an AI resource like ChatGPT is not allowed. You will submit your work to gradescope. See Canvas for submission instructions. Section 5.7 1+2+3+...+n= n(n+1) 2 1+1+2++"= ph+1-1 r-1 1. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. b1=1 and bk=bk-1+4k, for every integer k≥2 2. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. a2=1 and ak =ak-1+2*, for every integer k≥3 3. Use iteration to guess an explicit formula for the recursively defined sequence and simplify the answer using one of the formulas above if possible. co=4 and ck=5ck-1+2, for every integer k ≥1 Section 6.1 4. Let U={a,b,c,d,e,f,g,h) and let A= {a,d,e,f), B={b,e,g) and C={a,b,c,e,h). Find a. An Be b. An (B-C) c. AU (BUC) 5. Determine whether the statements are true or false. Justify your answer. a. The sets A and B defined below are disjoint. A={neZ|n=4k+3 for some k€Z). B={meZ|m=2k+1 for some k€Z). b. The sets C and D defined below are disjoint. C={neZ|n=5k+8 for some k€Z). D={m€Z|m=5k-11 for some k€Z). c. {{a,c,d,h),(b,e,j),f,i,g}} is a partition of (a,b,c,d,e,f,g,h,i,j). d. {{a,i,c},{d,g,e),(fj,i},{b,h}} is a partition of (a,b,c,d,e,f,g,h,i,j). e. {Z*,Z-} is a partition of Z. 000 Dashboard Calendar To-do 7 D Notifications Inbox
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