EDUC 271 Midterm, Fall 2012

OO EDUC 271 Group A Midterm Exam (35%) Name: | a) According to a student survey, 16 students liked history, 19 students liked English, 18 liked mathematics, 8 liked mathematics and English, 5 liked-history and English, 7 liked history and mathematics, 3 liked all three subjects, and every student liked at least one of the subjects. Draw a Venn diagram describing this information. (__/5pts) b) How many students were in the survey? ES C yucen\s ba c) How many students liked only mathematics? CG sdudooks pe d) How many students liked English es but not history? a Sudenrs 1. Consider the fol lowing sequences: (__/5 pts) First Sequence: 200, $00, 800, 1100, \4BO ,\OO | LOG, LB9°, AE Second Sequence: 1, 3, 9, 27, $$) Quis, ALA , ust, SSG rst ; , — Identify each of these sequences as arithmetic or geometric. Justify. eo Rest: ac Yoovokic since we ace od SAO CHL DOrCANC =r Ac € Suppose that the two sequences continue growing as listed above. Relative to their positions in each sequence, do you think that the terms in the first sequence will always be bigger than those in the second sequence? Justify. If no, determine the term and its position after which the terms in the second sequence become greater than the terms in the first sequence. Explain. No w<noce Wee Tad seauance i genssehec (we ase caulyglytes) VTE CK corbaue Ale Seawesces we Con see rak of He Athy econ , Seaquence 2 ge Neat gyrearkerWon Sequence 4. Br fern LEO 7 UY AW Sern 71600 < 6561 emrmaryrt 9 SQvores . 2 we ceases nok 2 coche a = Renee wwe _\nave on" c ws J (AEN)\_caluonar y M0 ach > rant es aa A sgunoces ack. “Jotal aur ber sf Ales 0 ous. A is: \ Osea ot ceclenale + dx erleronity we Wve 5 : ? Strategy 2: 5 encer™ : Ow * 54 is as “Fe i q arieresy ON ud gy cower o caw dh coves) eae [ <P woe Coe = ‘2 Bid eackconisties A The following is an example of one of the properties of multiplication of whole numbers. 3x5 = 5x3. (__/3 pts) Identify the property illustrated in the above example. Explain how a rectangular model can be used to illustrate this property. — ———, Insignt u M4. Illustrate 18-+3 = 6 using three different models (approaches). (__/3 pts) with 30 people, everyone shakes hands with everybody else exactly once. How many handshakes are there? Use two strategies to find the answer. Explain. Note that you are not allowed to use any formula that was not addressed in the course. (_ Apts) \-—?3aoc Strategy 1: Singe BO Host slate ittalicel (hk 24427947675 = =“ \ Strategy 2: t+\ = yp sider the following set {2, 4, 6, 8, ..., 2002}. (_/S pts) *Q the cardinal number of the set. Explain -~2- woe _ Lood ~ svnce each. aumker wwe add a Q a An aoet We olor So Weare shi PING A pucckeC $n woe Wwase half. Wee Coc nal alo of Rican Gast WoPoecd 6 W387-2 = 200° b. Find the sum 2+4+ 6+8+... + 2002, Explain. cleodsimt.- + *)2 aiees AcoR = 190\ (Oat aoe) QV —. Wooly WOH -— [o03 009 a 4 7. In this problem you are going to use different algorithms to perform the following addition: 3567+5678. (__/5 pts) a) The Lattice algorithm. b) Another algorithm. sccack yotov ef clencdora Good Luck