ANSWER
D.
EXPLANATION
The given explicit formula is
and
This implies that,
The explicit formula is given by:
We substitute the known values to get;
Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is

where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:

comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.

Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Add the numbers and divide by 5 to get a mean of 6.4
8 - 6.4 = 1.6
4 - 6.4 = -2.4
7 - 6.4 = 0.6
8 - 6.4 = 1.6
5 - 6.4 = -1.4
Add the absolute value of each: 1.6 + 2.4 + 0.6 + 1.6 + 1.4 = 7.6
Divide by 5 = 1.52
1.5
Answer:
4/3 of an hour, or 1.33 hours
Step-by-step explanation:
It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because
hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.
hours