The answer to the question is n>1/2.
First term: a(1) = 4; common ratio: r = 2
Then:
a(n) = 4(2)^(n-1)
Check: Predict the 4th term using this formula:
a(4) = 4(2)^3 = 4(8) = 32 (correct)
7 total cups of flour divided by 2.33 cups of flour needed per batch of 24 muffins equals three batches, then multiply total number of batches by number of muffins in each batch- 3x24- gives you a total of 72 muffins
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides
ab - ac - cd = ac - ac
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a'
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done
Tyler concludes that 5x² will always have a larger output for the same value of x.
<u>Look at the graph below and the table given</u>
Take a random value: x = 0
Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.