Evaluate the arithmetic series described : 2+(-2)+(-6)+(-10)...,510
1 answer:
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Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88:
Add 88:
Divide by 44:
Subtract 2:
Second: 10
Multiply by 88:
Add 88:
Divide by 44:
Subtract 2:
Third: 5
Multiply by 88:
Add 88:
Divide by 44:
Subtract 2:
Fourth: 2
Multiply by 88:
Add 88:
Divide by 44:
Subtract 2:
On a general terms:
Let the number be x.
Multiply by 88:
Add 88:
Divide by 44:
Subtract 2:
Notice that for every input x, the result is 2x