Answer: option D is the correct answer.
Step-by-step explanation:
The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.
The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a1 represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a1 = 36
r = 12/36 = 4/12 = 1/3
Therefore, the formula for the nth term of the sequence is
an = 36 × 1/3^(n - 1)
an = 36 × 3^-1(n - 1)
an = 36 × 3^(-n + 1)
an = 36 × 3^(1 - n)
Multiply 2 2/4 by 5/8.
First, simplify 2 2/4 to 2 1/2.
Then, convert to improper form (5/2).
5/2 x 5/8 = 25/16
answer: 1 9/16 gallons of water
Answer:
x=7
Step-by-step explanation:
The given series is
Where the first term, a , is 3.
And the difference is constant, that is
So the constant difference, d is 3.
Since the difference is constant, so the given series is arthmetic.
And for explicit rule, we use the formula of nth term, which is
Substituting the values of a and d, we will get
Recursive rule is used to tell us the relationship between previous and current term. And the required rule is
-10 -9 -8 -6 -5 -4 -3 -2 -1 0 1 2 3 4
Go back -5 places and you will land on the answer of -8
Hope this helps! :)
