Answer:
- <em>The next number in the series 100, 96, 104, 88, 120, 56, ... is</em>: <u>184</u>
Explanation:
1) You need to try to find a pattern in the given sequence, so that you can conclude a rule to determine each number in the sequence.
2) The first logical approach to find such pattern is to find the differences between any pair of consecutive numbers. That leads you to this:
3) From that, you can see that the difference between two consecutive numbers is scaled by a factor of - 2. That is shown here:
- Second difference = 8 = - 4 ( - 2)
- Third difference = - 16 = 8 (- 2)
- Fourth difference = 32 = - 16 ( - 2)
- Fifth difference = - 64 = 32 ( - 2)
4) Therefore, in words, the rule is "add (- 2) times the previous difference", which is:
⇒ 56 + 128 = 184.
⇒ Answer: the next number is 184.
Try to find ways that you can easily remember formulas. For example, when you find the line of symmetry the equation is y=-b/2a. A way you can remember that is by saying negative tuba. It seems silly but it’s something you can do for most equations so it doesn’t seem so intimidating.
<span>Hexagonal pyramid. It has got 7 bases and 12 edges.</span>
Answer:
9.22×10^9
Step-by-step explanation:
The number must be written with
- a number between 1-10
- multiplied by a power of 10
The power of 10 tells you how many times you moved the decimal.
Answer:
The population in 20 years will be 781.
Step-by-step explanation:
The population of the town can be modeled by the following equation:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate, as a decimal.
The initial population of 500 increases by 25% in 10 years.
This means that 
We use this to find r.
Applying ln to both sides
So
What will be the population in 20 years
This is P(20)
The population in 20 years will be 781.
