Answer:
Step-by-step explanation:
1/5 + 1/5 = 2/5
1/7 + 1/7 = 2/7
1/3 + 1/3 = 2/3
There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example
1/9 + 1/9 = 2/9
I don't think you can pick an even denominator because it will reduce when put with two. Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.
What about an odd and even denominator?
1/9 + 1/18 = 3/18 = 1/6 There must be something that works, but I can't come up with an example.
The question can be answered using the exponent function. The function would look like:
an = a1 (r)^(n - 1)
where
a1= initial payment
r= ratio of increase
n= number of payment.
The sigma notation to determine the sum of
15 Σ = 150*1.3^(n-1)n = 1
Since the function ratio is 1.3 which was >1, the series will keep increasing so it would be divergent
Answer:
134.9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
9.1p + 8.9r
p = 7
r = 8
<u>Step 2: Evaluate</u>
- Substitute: 9.1(7) + 8.9(8)
- Multiply: 63.7 + 71.2
- Add: 134.9
Always true is a statement (1)
Answer:
True.
Step-by-step explanation:
Let me clear it to you by an example:
if you take n=1,3,5,7,...... which are odd numbers
then adding 1 with them will give you n+1=2,4,6,8.... which are even numbers.
That's how, if an integer n is odd, then n+1 must be even.
Similarly, if you let n as even numbers, then n+1 will be odd.