Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
Answer:
B. 3.
Step-by-step explanation:
OK lets try again.
The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).
Slope of the secant = f(5) - f(2) / (5 - 2)
= [(25-3) / (5-1) - (4-3) / (2-1)] / 3
= (22/4 - 1) / 3
= 9/2 / 3
= 9/6
= 3/2.
The derivative at c = the slope of the tangent at c.
Finding the derivative:
f'(x) = [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2 (where x = c).
= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.
So equating the slopes:
(x^2 - 2x + 3) / (x - 1)^2 = 3/2
2x^2 - 4x + 6 = 3x^2 - 6x + 3
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 90
x = 3 , -1
x can't be -1 because we are working between the values 2 and 5 so
x = c = 3.
11/6+3 is 29/6. 2/(29/6) is 12/29, which is the answer.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
When x is squared, it's going to be bigger by the conclusion because the larger the faster. 
consistently exceeds 
, regardless of the price of X.
5x+3 is always 3 more so than 5x.
In particular, this can be classified according to its pathways 
So can alternatively just say "eventually," which means because when x really is big, you need to find one another's values. Then just select x=100, then plug it into every single other. To confirm this order:
So, the ascending order must be the right order!
30= 3*10
30= 3*2*5
48= 12*4
48= 3*4*4
48= 3*2*2*2*2
60= 3*20
60= 3*10*2
60= 3*2*5*2
The GCF is 3*2 because all 3 numbers contain a 3 and a 2 in their prime factorizations.
Final answer: 6
