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.
Answer:
<h2>your answer is like this</h2>
Step-by-step explanation:
<h2>a)16. d)-2</h2><h2>an=a+(n-1)d</h2><h2>a76=16+(76-1)-2</h2><h2>=16-150</h2><h2>=-136</h2>
Answer:
probably 57 will be the answer
Answer:
456
Step-by-step explanation:
Let
x-----> the number of hours that Candice spent doing her homework
y-----> the number of hours that Ronald spent doing his homework
we know that

convert mixed number to an improper fraction

so
-------> equation A
------> equation B
Substitute equation A in equation B

convert an improper fraction to a mixed number

therefore
<u>the answer is the option B</u>
