Answer:
You divided by two.
Step-by-step explanation:
8/2=4
6/2=3
The common difference is d = 4 because we add 4 to each term to get the next one.
The starting term is a1 = 3
The nth term of this arithmetic sequence is
an = a1 + d(n-1)
an = 3 + 4(n-1)
an = 3 + 4n-4
an = 4n - 1
Plug in n = 25 to find the 25th term
an = 4n - 1
a25 = 4*25 - 1
a25 = 100 - 1
a25 = 99
So we're summing the series : 3+7+11+15+...+99
We could write out all the terms and add them all up. That's a lot more work than needed though. Luckily we have a handy formula to make things a lot better
The sum of the first n terms is Sn. The formula for Sn is
Sn = n*(a1+an)/2
Plug in n = 25 to get
Sn = n*(a1+an)/2
S25 = 25*(a1+a25)/2
Then plug in a1 = 3 and a25 = 99. Then compute to simplify
S25 = 25*(a1+a25)/2
S25 = 25*(3+99)/2
S25 = 25*(102)/2
S25 = 2550/2
S25 = 1275
The final answer is 1275
Answe quik tha 2nd one
Step-by-step explanation:
do it
Answer:
9:4
Step-by-step explanation:
English
Ana uses 3/4 cup of china juice for every 1/3 cup of lemon juice to make a soda. What is the ratio of cups of china juice to cups of lemon juice?
<u>Solution</u>
To find the ratio of cups of china juice to cups of lemon juice, we divide
by
and simplify.
We set up the division as follows:
Multiply the first fraction by the reciprocal of the second fraction.
This gives us;
We then obtain:
Therefore the ratio of cups of china juice to cups of lemon juice is 9:4
