VI. (1 + 3)3¹ + (2 + 3)3² + (3+3)3³ + ... + (n + 3)3^n =3/4[3^n(2n+5)-5]
Use mathematical induction to :
1. Prove that 6 is a factor of n(n + 1)(12 + 2)
2. Show that 24 1 - 1 is divisible by 15
3. Prove that 3^n- 2n is divisible by 4

School has 204 sixth grade students. if the sixth grade is 30% of the total school, how many students are in the middle school?

Sam is a waiter at a local restaurant where he earns wages of $5 per hour sam figures that he also eams about $3 in tips for each person he serves sam works 6 hours on a particular day. if n represents the number of people sam serves that day, which of the following functions could sam use to figure ehis total earings for the do o a. en) = 30 o b. en) = 5n+ 18

Which of the following circles have their centers on the x-axis? check all that apply.