First, put the numbers in numerical order from 4-13.
4,5,5,6,10,11,12,13
Then, the number that is in the middle will be the answer, which is 6 and 10. Then, you need to find the mean of these two numbers. To find the mean, add 6 and 10, then divide by two. The answer is then 8.
Answer:
y = 3/2x
Step-by-step explanation:
The slope goes up by 3 and to the right by 2, using rise/run slope rule, then the slope is 3/2
"The quotient of a number and 3 less than twice the number" would translate to the expression x/(2x-3)
Basically we have x up top the fraction and 2x-3 in the bottom denominator of the fraction. The slash / means divide
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
d - 3 = (-8)
+3 +3
d = -5
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