A sequence is defined by the formula f(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?
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Answer:
The value of f(1) is 31.
Step-by-step explanation:
As given
f(n + 1) = f(n) – 3
f(4) = 22
Put n = 3
Thus
f(3+ 1) = f(3) – 3
f(4) = f(3) – 3 (As f (4) = 22 )
Putting the values in the above
22 = f(3) – 3
22 + 3 = f(3)
25 = f(3)
Now put n = 2
f(2+ 1) = f(2) – 3
f(3) = f(2) – 3 (As f (3) = 25 )
25 + 3 = f(2)
28 = f(2)
Put n = 1
f(1 + 1) = f(1) – 3
f(2) = f(1) - 3
28 + 3 = f(1)
f(1) = 31
Therefore the value of f(1) is 31 .
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