Help me please if i dont do my homework my mom will beat me
2 answers:
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From the given recurrence, it follows that
and so on down to the first term,
(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)
Denote the remaining sum by <em>S</em> ; then
Multiply both sides by 2 :
Subtract 2<em>S</em> from <em>S</em> to get
So, we end up with
14. (2x - 1)(x + 7) = 0
Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5