Answer:
A(101) = 252
Step-by-step explanation:
Utilize the equation A(n) = A1 + (n-1)d
- n > the nth term
- A1 > first term in sequence (852)
- d > common difference (-6)
Plug in and simplify.
- A(n) = 852 + (n-1)(-6)
- A(n) = 852 - 6n + 6
- A(n) = - 6n + 858
Finally, plug in 101 for n.
- A(101) = - 6(101) + 858
- A(101) = - 606 + 858
- A(101) = 252
Answer:
return 0;
Step-by-step explanation:
The Fibonacci numbers such that each number is the sum of the two preceding ones, but the first therm of the sequence cannot be built by this rule.
In that 
Then you may define it in the base case
return 0;
Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)


The partial derivatives are


To find the dimension of the box set the partial derivatives
and
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)



⇒y=34 cm
Then
=34 cm.
Putting the value of x and y in the equation (2)

=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Hey there
9a+3+2a+10
You have to collect like terms
To simplify you have to add 9a and 2a. Then 3 and 10
9a+2a= 11a
10+3= 13
The answer is 11a+13
hope this helps <span />
80 -224
——
15
976
——
15
Hope this helped