7. Prove that if a, = 1, a1 = 4, and a, = 6a,-1 – 9an-2 for n > 2, then a, = 3"-(3 + n) for all n 2 0. Show all your algebraic steps! Basic case(s): Inductive Hypothesis: Inductive step - we need to prove:

numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits is How many not allowed? (a) 18 (b) 24

bipin

n-1 : 2n-1P 11:21, then n² + n + 15 is equal to:

X4. Prove (1-) (1-) - (1-)= = n+1 for all n 2 2. 2n 22 32 X5 From the homework and examples vou have formulas for

How many combinations are possible with repeats for C(6,3) * Student can enter max 3000 characters X GB I U || || Use the paperclip button below to attach files. || || Ω

Serial numbers for a product are made using 3 letters followed by 2 numbers. If the letters are taken from the first 8 letters of the alphabet with no repeats and the numbers are taken from the 10 digits (0 − 9) with no repeats, how many serial numbers are possible?