im just trying to find the rule:
a 5 6 7 8 9
b 3.8, 4.6, 5.4, ?, ?
please help ASAP
. . a . . b . . . difference
. . 5 . . 3.8 . . 1.2
. . 6 . . 4.6 . . 1.4
. . 7 . . 5.4 . . 1.6
. . 8 . .
slope for the first two = (4.6-3.8)/(6-5) = .8 or 4/5
slope for the second pair = (5.4 - 4.6)/(7-6) = .8 or 4.5
so b = .8a + k
using (5,3.8)
3.8 = .8(5) + k
k = -.2
b = .8a - .2
plug in a = 7,8,9..... to get the b's
slope for the first two = (4.6-3.8)/(6-5) = .8 or 4/5
slope for the second pair = (5.4 - 4.6)/(7-6) = .8 or 4.5
so b = .8a + k
using (5,3.8)
3.8 = .8(5) + k
k = -.2
b = .8a - .2
plug in a = 7,8,9..... to get the b's
I can copy people too, Reiny
To find the rule and complete the pattern, we need to look for a consistent pattern or relationship between the given values. In this case, we have two sets of data: the letters (a and b) and the corresponding numbers (5, 6, 7, 8, 9) and decimal values (3.8, 4.6, 5.4).
Let's analyze the pattern between the letters and the numbers:
- The letter "a" is associated with the number 5.
- The letter "b" is associated with the number 3.8.
By comparing the letters and numbers, we can observe that each subsequent letter corresponds to a number that is 0.8 greater than the previous number. For example, "a" is associated with 5, and "b" is associated with 3.8, which is 0.8 less.
Now let's analyze the pattern between the numbers (5, 6, 7, 8, 9) and the decimal values (3.8, 4.6, 5.4):
We can see that the decimal values are obtained by adding 0.8 to each of the corresponding numbers. For example, 3.8 is obtained by adding 0.8 to 3, 4.6 is obtained by adding 0.8 to 4, and so on.
With this pattern in mind, we can find the missing values in the series:
- The next letter after "b" is "c".
- The next number in the series after 9 is 10.
- Applying the same pattern, the next decimal value should be obtained by adding 0.8 to 10, which gives us 10.8.
- Following the pattern, the value after 10.8 would be obtained by adding 0.8 to 10.8, giving us 11.6.
Therefore, the missing values in the series are:
c 10 10.8 11.6
The rule or pattern for this series is that each subsequent letter represents a number that is 0.8 less, and each subsequent decimal value is obtained by adding 0.8 to the corresponding number.