Determine whether the given sequence is arithmetic or geometric. Justify your answer. a. 3, 9, 27, 81, 243, ... b.-144,-140, -136, ... c. 4,-12,36,-108, ... d. - 4096,-1024,-256, -64, ... e. 2000, 1988, 1976, 1964, ...
Answer (1)
Answer:a. Geometricb. Arithmeticc. Geometricd. Geometrice. ArithmeticStep-by-step explanation:a. Check the ratios9/3 = 327/9 = 381/27 = 3Common ratio = 3b. Check the differences-140 - (-144) = 4-136 - (-140) = 4Common difference = 4c. Check the ratios-12/4 = -336/-12 = -3-108/36 = -3Common ratio = -3d. Check the ratios-1024/-4096 = 1/4-256/-1024 = 1/4-64/-256 = 1/4Common ratio = 1/4e. Check the differences1988 - 2000 = -121976 - 1988 = -121964 - 1976 = -12Common difference = -12
