A number sequence is a list of numbers governed by a rule. The rule governing the numbers is used to determine other numbers that follow in the sequence.
A. In this sequence, the rule is to increase the difference between the previous two numbers by 1 and then add the result to the last number in the sequence.
(10 - 6) + 1 = 5
5 + 10 = 15
Also (15 - 10) + 1 6
6 + 15 = 21
B. The rule here is to subtract 1 from the negative difference between the previous two numbers in the sequence and then add the result to the last number in the sequence.
(2 - 5) - 1 = -4
2 + (- 4) = -2
Also, (-2 - 2) - 1 = -5
-2 + (-5) = -7
C. The rule here is to square the numbers starting from 1.
To solve this equation, start by noticing that you want to find t when P is 75%, or 0.75. Plug in 0.75 for P. Please see the attached screenshot for a step-by-step. The correct answer is 29.496 days.
EDIT 2: I actually was correct! You check the answer by substituting 29.496 for t in the original equation set equal to 0.75. It is 0.75. I had forgotten the negative sign when I checked.
Answer: this is the steps to working the problem and the answer is 54: 3% means 3 out of each 100. if you have 100 items, 3% is just 3. You need more than 100 times as many (you want 354), so x must be more than 100 * 100, right? 3% of 10.62 is less than 1, and the problem says there are 354 :-)
