February 5, 2018
Logic, Problem Solving (Misc.), Sequences, Series & PatternsThis Saturday’s date, 02-10-18, forms an arithmetic sequence since 2 + 8 = 10 and 10 + 8 = 18. In honor of this occurrence, try your hand at solving these problems involving sequences and patterns.
What is the tenth term of the sequence −50, −49, −47, −44, −40, …?
What is the sixth term in the sequence 0, 3, 8, 15, 24, …?
Given the list of numbers 3, 2, 6, 3, 9, 5, 12, 7, …, if the pattern continues what is the sum of the ninth and tenth numbers?
O, Christmas Tree – December 4, 2017
Although, Franklin Pierce, the 14th U.S. President, originally brought the Christmas tree tradition to the White House, it was Calvin Coolidge, the 30th U.S. President, who, in 1923, started the National Christmas Tree Lighting Ceremony now held every year on the White House lawn. Last week, the president and first family continued that tradition by lighting a tree on the White House lawn. And speaking of trees, try to solve the following Christmas tree-themed problems. In the U.S., there are about 450,000 acres in production for growing Christmas trees. If each acre provides the daily oxygen requirements of 18 people, how many acres of Christmas trees would need to be in production to provide enough oxygen for all 316 million Americans? Express your answer to the nearest whole number. If the average time it takes to grow a 6-foot Christmas tree is 7 years, how many inches of growth is that per year? Express your answer as a decimal to the nearest tenth. What would be the total income from 23 million Christmas trees sold at an average cost of $5.10 per foot of height, if the average tree sold is 6 feet tall?