Answer:
a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists.
Step-by-step explanation:
A sequence is a pattern; it is an ordered list of numbers. A series, however, is the sum of a sequence.
A convergent series is a series for which the sequence of its partial sums tends to a limit; this means the limit exists. A divergent series is a series that is not convergent.
Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is

The parent function is

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.
Answer:
Ratio of the perimeters =3:1
Step-by-step explanation:
We have given that : Ratio of the sides of two squares is 3:1
To find : Ratio of their perimeters
Solution : Let the length of the sides are 3:1 = 3x : x
Formula of perimeter of square = 4(side)
Using the formula ,
Perimeter of 1 square = 4×3x= 12x
Perimeter of 2 square = 4×x= 4x
Ratio of the perimeter of 1 square and 2 square = 12x : 4x
= 3 : 1
Answer:
Select all the equations that have the same solution as the equation 3x-12=24
Step-by-step explanation:
Answer:
The percentage increase in the cost of Boris car insurance cost is 249%
Step-by-step explanation:
In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris
Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.
Mathematically, the percentage increase would be;
{(new value paid-old value paid)/old value paid} * 100%
From the question, we can identify that the old value paid is £256 while the new value paid is £894
Thus, the percentage increase would be ;
(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage