To the "debate on how to do this problem"
Just use the standard form -> nth term= a1 + (n-1)*(D)
in this case
100th= 15 + (100-1) (-6)
100th= -579
where d is the common difference, a1 is the first term and n is the number of terms, then you'll never loose track of negatives!
It would be 6.55. You need to square root the 43. Since it’s not even and can’t multiply 2 numbers to get the exact number it’s going to be a decimal.
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
Answer:
- strawberry: 30 g
- blueberry: 24 g
Step-by-step explanation:
The total number of ratio units is 5+4 = 9, so each of them represents ...
(54 g)/9 = 6 g
of fruit. Multiplying the ratio by this value shows you the amount of each kind of fruit:
strawberry : blueberry = 5 : 4 = 5(6 g) : 4(6 g)
strawberry : blueberry = 30 g : 24 g
There are 30 g of strawberry and 24 g of blueberry in the smoothie.