87. A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal (A) 16 (B) 32 (C) 4 1 (D) 54 (E) 68
答案是E,这是OG的解释:
Algebra Applied problems Th e bead pattern repeats after every fifth bead. Since the first bead in this design (or the first in the pattern) is red and the last bead in this design (or third in the pattern) is white, the number of beads in this design is 3 more than some multiple of 5. Th is can be expressed as 5n + 3, where n is an integer. Test each of the answer choices to determine which is a multiple of 5 plus a value of 3. Of the options, only 68 = 5(13) + 3 can be written in the form 5n + 3.
问题: 1、(or third in the pattern) is white 白色不是排最后嘛?怎么又变成第三了? 2、the number of beads in this design is 3 more than some multiple of 5. 这话咋理解呢~~~~~~ 3、5n + 3 这又是咋回事呢~~~~~~~