Massachusetts Tests for Educator Licensure (MTEL ) www.mtel.nesinc.com

Mathematics (09) Practice Test19. Use the diagram below to answer the question thatfollows.Connecting the midpoints of the three sides of an equilateraltriangle will give rise to four smaller congruent equilateraltriangles. Repeating this process on each of the four smallertriangles will result in a total of 16 yet smaller equilateraltriangles, as shown above. Repeating this process n times willresult in how many of the smallest-size triangles?A. n 2B. 4n 2C. 2 nD. 4 n20. Use the recursive definition below to answer the questionthat follows.a n= a n – 2+ a n – 1+ na 1= 1a 2= –2Based on the recursive definition above, which of the followingis the value of a 6?A. –7B. 13C. 21D. 4114