Question 1072112: What is the sequence in -9,101,-999,10001,-99999?
Answer by Edwin McCravy(20056) (Show Source):
You can put this solution on YOUR website! -9,101,-999,10001,-99999?
-9 = -10+1
101 = 100+1
-999 = -1000+1
10001 = 10000+1
-99999 = -100000+1
So it's the powers of 10 with alternating signs, plus 1.
(-1)n is the factor that causes the signs to
alternate:
So the nth term of the sequence is
an = (-1)n10n + 1
or
an = (-10)n + 1
Edwin
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