The third term of (2x + y)^8 is ax^6 y^2. What's the value of a? The first three terms of a geometric sequence is 9, 3, 1. Use general term formulas to find the 9th term. Find the infinite sum sigma_n=1^infinity 1/2^n Write in summation notation 2/1 + 1^2 + 4/1 + 2^2 + 6/1 + 3^2 + 8/1 + 4^2 + 10/1 + 5^2 Evaluate (a) P(8, 3) B) C(8, 3) How many ways can we arrange 6 pictures on the wall from left to right, if the left most picture is already chosen? How many ways can we form a four letter word using letters in {a, b, c, d, e}, if the first and the last letter must be different? How many ways can we choose two candidates to run tor president it there are five male candidates and two female candidates? In a club of 12 members, howe many ways can we choose the presided, the vice president and the treasurer for the club? How many bit strings (with only 0's and 1's) of length eight have equal number of 0's and 1's?
Show transcribed image text The third term of (2x + y)^8 is ax^6 y^2. What's the value of a? The first three terms of a geometric sequence is 9, 3, 1. Use general term formulas to find the 9th term. Find the infinite sum sigma_n=1^infinity 1/2^n Write in summation notation 2/1 + 1^2 + 4/1 + 2^2 + 6/1 + 3^2 + 8/1 + 4^2 + 10/1 + 5^2 Evaluate (a) P(8, 3) B) C(8, 3) How many ways can we arrange 6 pictures on the wall from left to right, if the left most picture is already chosen? How many ways can we form a four letter word using letters in {a, b, c, d, e}, if the first and the last letter must be different? How many ways can we choose two candidates to run tor president it there are five male candidates and two female candidates? In a club of 12 members, howe many ways can we choose the presided, the vice president and the treasurer for the club? How many bit strings (with only 0's and 1's) of length eight have equal number of 0's and 1's?
