Answer:
a) The error is that, the initial value is n=1 NOT n=3
b) The sum is 
c)The explicit formula is 
The recursive formula is 
,
Step-by-step explanation:
The given arithmetic series is 8 + 13 + ... + 43.
The first term is 
, the common difference is 
The nth term is given by:
We substitute the values to get:
To find how many terms are in the sequence we solve the equation:
The summation notation is 
The error the student made is in the initial value.
It should be n=1 NOT n=3
b) The sum of the arithmetic series is calculated using:
We substitute o get:
c) The explicit formula we already calculated in a), which is 
The recursive formula is given as:
We substitute d=5 to get:
Answer:
y = 5 - 2x
Step-by-step explanation:
Answer:
x = 5/3 or 1.6666..
It can also be called one solution.
Step-by-step explanation:
4(x-2) = x - 6/2
4x - 8 = x -3
4x - x - 8 = -3
3x - 8 = -3
3x = -3 + 8
3x = 5
x = 5/3
Answer:
x = 5, x = -5 are your answers
Step-by-step explanation:
First, FOIL (First, Outside, Inside, Last)
(x + 4)(x - 4) = 9
x(x) = x²
x(-4) = -4x
4(x) = 4x
4(-4) = -16
x² - 4x + 4x - 16 = 9
Simplify. Combine like terms
x² (-4x + 4x) - 16 = 9
x² - 16 = 9
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Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 16 to both sides
x² - 16 (+16) = 9 (+16)
x² = 25
Next, isolate the x completely by rooting both sides
√(x²) = √(25)
x = √25
x = √25 = √(5 x 5)
x = √25 = √(-5 x -5)
x = 5 , -5
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x = 5, x = -5 are your answers
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