Answer:
plug in 0 for y and solve for x
to find y plug in 0 for x
Step-by-step explanation:
Let x = age of jack
Let y = age of Lacy
x=3y (Jack age is 3 times that of Lacy)
(x+y)-8 = 25
Substituting value of x:
(3y+y) -8 = 25
4y - 8 = 25
4y = 33
y = 33/4 = 8.25 or 8 years 3 months (age of Lacy)
x = 3(8.25) = 24.75 or 24 years 9 months (age of Jack)
Checking:
Substituting in equation ( x + y ) -8 = 25
24.75 + 8.25 - 8 = 25
25 = 25
Answer:
-48
Step-by-step explanation:
2(-16)-16
3(-16)
-3(16)
-(48)
-48
Step-by-step explanation:
lim(n→∞) |aₙ₊₁ / aₙ|
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) / (4ⁿ / n!) |
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) × (n! / 4ⁿ) |
lim(n→∞) | 4 / (n+1) |
0
Since the limit is less than 1, the series converges.
