Answer:
converge
Step-by-step explanation:
the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.
why do I know that the individual terms get smaller and smaller ?
because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)
n / (n^(3/2))
as sqrt(n³) = n^(3/2)
and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.
so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.
Answer:
Add 3y to both sides of the equation.
x=−2+3y
x+3y=16
Replace all occurrences of x with −2+3y in each equation.
−2+6y=16
x=−2+3y
Solve for y in the first equation.
y=3
x=−2+3y
Replace all occurrences of y with 3 in each equation.
x=7, y=3
The solution to the system is the complete set of ordered pairs that are valid solutions. ( 7 , 3 )
The result can be shown in multiple forms. Point Form: ( 7, 3 )
Equation Form: x=7, y=3
Step-by-step explanation: