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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 n(n+1 n+l _ 14+24+3+...4n= \" ) bert str" J r-l 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. b,=1 and b; = b;_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=landa;z =ap_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 cz =5cz_1+2, for every integer k1 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 BS b. An (B-C) c AU(BUCS 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 ke Z}. B={meZ | m=2k+1 for some ke Z}. b. The sets C and D defined below are disjoint. C={neZ |n=5k+8 for some ke Z}. D={meZ | m=5k-11 for some ke Z}. ce. {{a,c,d,h},{b,e,},{f,1,2}} 1s a partition of {a,b,c,d,e,f,g,h,1,]}- d. {{a,i,c} {d,g,e}.{f.7,0},{b,A} is a partition of {a,b,c,d,e,f,g,h,1,]}. e. {Z*,Z} is a partition of Z