g Prove that ∀n ∈ N, Pn i=0 2 i = 2n+1−1 (in other words, 1+2+4+8+· · ·+ 2 n = 2n+1 − 1). Use the following proof strategy: Proof by contradiction. Take the set of all n for which this statement is false. Use the fact that every set of non-negative integers has a minimum. Call that minimum k. Either k = 0 or the statement is true for k − 1. Get a contradiction from here.

The sat and act tests use very different grading scales. the sat math scores follow a normal distribution with mean 518 and standard deviation of 118. the act math scores follow a normal distribution with mean 20.7 and standard deviation of 5. suppose regan scores a 754 on the math portion of the sat. how much would her sister veronica need to score on the math portion of the act to meet or beat regan's score?

How is working backward similar to solving an equation?

Solve: 25 points find the fifth term of an increasing geometric progression if the first term is equal to 7−3 √5 and each term (starting with the second) is equal to the difference of the term following it and the term preceding it.