Number Sequences and Sums Exploring Patterns

1- Find the 20th term in the sequence 2, 4, 6, 8, … 2- What term of the sequence 2, 5, 8, 11, … is the number 77? 3- Find the sum of the series 2 + 5 + 8 + … + 77. (See question 2) 4- Find the 15th term of the sequence 21/2, 2 , 2 (21/2 ) … ? 5- What is the sum of the first 10 terms of the sequence 2, 4, 8, …? 6- A coin is flipped, and a four sided die numbered 1-4 is rolled. The results are recorded in the form H# or T# with the H meaning heads or tails, and # indicating the number on the die facing up (example: T1 means Tail on coin, 1 on die). List the sample space. 7- A number from 2 to 10 is drawn. List the event that the number is even or greater than 7. 8- A pair of dice (one red, one green) are rolled and the numbers (1-6) on the faces showing up are noted and added to produce a sum. A) List the event that the sum of the faces is 7, and B) give the probability that the sum is 6. 9- A card is drawn from a standard deck of 52 cards. Find the probability that the card is a king or a queen given that the card drawn is red. 10- A number from 3 to 12 is drawn at random. Given that the number is even and less than 8, what is the probability that it is a 6?