An arithmetic sequence takes the form

where

is the common difference between terms. You can solve for

in terms of any of the previous terms of the sequence:

for some integer

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term


Given that the 4th term is

and the 11th term is

, you have the following system of equations.

Solving this system for the two unknowns yields

and

.
So, the sequence is given explicitly by
When you divide, you're doing the oposite of multiplication. To know that your partical answer is going to be in the hundreds place is you follow the pattern.
2874/3=958
you take the 3 and you divide it by the last two didits of the number given (28) and that'll get you into your hundreds place.
Hope this helped! :-)
Answer:
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
Step-by-step explanation:
The volume of the swimming pool can be written as;
Volume V = flow rate × time
V = R×t
V = R1×t1 = R2×t2
R1×t1 = R2×t2
t2 = R1×t1/R2 ........1
Given;
Flow rate R1 = 12 litres per minute
Flow rate R2 = 5 litres per minute
time t1 = 22 hours
Substituting the given values into equation 1;
t2 = R1×t1/R2 = 12×22/5
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
Answer:-4
Step-by-step explanation:
Subtract 5 from each side, which leaves you with 3x=-12. Then divide each side by 3. Then that leaves you with x=-4