A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?
2 answers:
Answer: Choice (3) which is the sequence –2, –7, –12, ...
Here we start with -2 and subtract off 5 each time we need a new term
-2-5 = -7
-7-5 = -12
and so on.
The notation f(n+1) = f(n) - 5 tells us "subtract 5 from the nth term, called f(n), to get the next term f(n+1)"
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
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