Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since 
= a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
How do you do a box and whisker plot using 18,18,17,19,20,22,22,22,22,23,25 and26
sashaice [31]
What a whisker plot exactly
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
9>n>17
it means that n can be whatever number between 9 and 17
Assuming Mark wants to buy a PS5 for $499.00 and the tax in her local county is 7.75% of the total sale, what will be the final cost is $538
Using this formula
Final cost =Total sales+ (Total sales×Tax)
Let plug in the formula
Final cost= $499.00+($499.00×7.75%)
Final cost= $499.00+$38.67
Final cost= $537.67
Final cost= $538 (Approximately)
Inconclusion Assuming Mark wants to buy a PS5 for $499.00 and the tax in her local county is 7.75% of the total sale, what will be the final cost is $538
Learn more here:
brainly.com/question/13040834
