Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...
Answers
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n
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Answers
Answers
Combine like terms:
n - 3n = -2n
-2n + 1 = -5 + n + 1 - 2
Combine like terms:
-5 + 1 - 2 = -6
-2n + 1 = n - 6
Subtract 'n' to both sides:
-3n + 1 = -6
Subtract 1 to both sides:
-3n = -7
Divide -3 to both sides:
n = 2 1/3 or 7/3
Simplify it
-2n+1 = n+4
Add 2n to both sides
1 = 3n+4
Subtract 4 from both sides
-3 = 3n
Divide by 3
n = -1
Solve for y
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First, lets find equivalents of 1/2
If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.
2 +1 3
__= ___
4 4
3/4 is greater than 1/2
Mike could have drunken 3/4 of the juice
4/6>1/2 Mike could have drunken 4/6 of the juice
5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.
Answer=3/4, 4/6, 5/8 and many more possible fractions
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1. You want to turn the 7 into 6 12/12
2. Subtract the two
6 12/12 - 3 5/12 = 3 7/12
So your answer is 3 7/12. Hope I helped!
Answers
48×.375=18
hope this helps
8units =48
1unit = 6
3units =18