Answer:
Step-by-step explanation:
The common ratio is the constant found by dividing any term by the previous term.
r=6/36=1/6
r=1/6
I am assuming the 16 at the end of the sequence was a typo. IF 16 was at the end of the sequence it is NOT a geometric sequence as there would not be a common ratio for all terms.
Answer:
30 m^2.
Step-by-step explanation:
This is a right-angled triangle because it obeys the Pythagoras theorem
( 13^2 = 12^2 + 5^2).
So its area = 1/2 * base * height
= 1/2 * 5 * 12
= 30 m^2
I'll just make a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
old new
1: 1
2: 1 x 3 = 3 ⇒ 1 3 *only new members recruit 3 more
3: 3 x 3 = 9 ⇒ 4 9
4: 9 x 3 = 27⇒ 13 27
5: 27 x 3 = 81 ⇒ 40 81
40 + 81 = 121. Total number of members under 1 founding member.
121 x 2 founding members = 242 total number of members within 5 weeks.
Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
...(ii)
...(iii)
On dividing (iii) by (ii), we get
Putting
in (ii), we get


Putting
in (i), we get


The function notation with variable n is:

Therefore, the correct option is D.
Answer:
52 yards
Step-by-step explanation:
Perimeter is all sides added together.
13 + 14 + 7 + 18 = 52