Answer:
Step-by-step explanation:
Problem A
t(1) = 2(1) + 5
t(2) = 2*2 + 5 = 9
t(3) = 2*3 + 5 = 11
t(4) = 2*4 + 5 = 13
So this is the explicit result. Now try it recursively.
t_3 = t_2 + 2
t_3 = 9 + 2
t_3 = 11 which is just what it should do.
t_n = t_(n - 1) + 2
Problem B
t(1) = 3 * 1/2
t(1) = 3/2
t(2) = 3*(1/2)^2
t(2) = 3 * 1/4
t(2) = 3/4
t(3) = 3*(1/2)^3
t(3) = 3 * 1/8
t(3) = 3/8
t(4) = 3 (1/2)^4
t(4) = 3 (1/16)
t(4) = 3/16
So in general
t_n = t_n-1 * 1/2
For example t(5)
t_5 = t_4 * 1/2
t_5 = 3 /16 * 1/2 = 3/32
Answer: X * 1 + Y * 3 + Z * 2 = 45
Step-by-step explanation: we will use bananas, apples and mangoes as the unknowns of the equation.
The value that you multiply to the unknowns will be multiplied by the price that corresponds to it.
These 3 products must be added to result in the total value that is 45.
X * 1 + Y * 3 + Z * 2 = 45
V<span>=(</span><span>4/</span><span>3)</span><span>πr^</span><span>3
R=radius
Diameter= 2 times R
so,
R=7 ft
plugging the values;
V=(4/3)(3.14)(7)^3
V=1436.02 Cubic feet</span>
Answer:
the answer is 45
Step-by-step explanation:
all you have to do is multiply 30*2*3/4
to get 45
