Calculate the sum of the arithmetic series

3 + 5 + 7 +.... + 101

Find the common ratio of the geometric sequence

8,12,18,....

 Jane has five books that she treasures: "A Map Of  the World," Shipping News,"  "Cold Mountain," "Snow Falling on Cedars," and "Harry Potter and the Chamber of  Secrets." In how many different ways can she arrange these books on her bookshelf?

 Ten dogs compete for 3 ribbons: blue for first place, red for second place, and white for  third place. If the judge selects three of ten dogs at random, in how many different ways Can the ribbons be awarded With this strategy?

The Chinese zodiac associates years with animals.  Addison was born in 1994, the Year of the Dog. The Year of the Dog repeats every 12years.  List the first three years that Addison will celebrate his birthday in the Year of the Dog.

It’s About Time, in Langley, BC, is Canada’s largest custom clock manufacturer. They have a grandfather clock that, on the hours, chimes the number of times that corresponds to the time of day.  For example, at 4:00 p.m., it chimes 4 times.  How many times does the clock chime in a 24-hour period? 

Which polynomial represents

(3x²+ x- 4) (2x-5) 

A single die is rolled. How many ways can you roll a number less than 3, then an even, and then an odd?

How many 4-personcommittees can be formed from a group of 8 teachers  and 5 students if there must be either 1 or 2 teachers on the committee?

Suppose a word is any string of letters. How many two-letter words can you make from the letters in L E T H B R I D G E if you do not repeat any letters in the word?