A sequence is defined recursively by the following rules:
1 answer:
Answer:
- C) f(5)= 33
- E) f(2) = 5
Step-by-step explanation:
The recursive definition tells you that values of f(n) will all be odd. (They are one less than an even number.) This observation eliminates all choices except C and E.
The first few values of f(n) are ...
3, 5, 9, 17, 33, 65, ...
From this list, we can see that f(2) = 5 and f(5) = 33, matching choices C and E.
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The explicit formula is ...
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Hannah is 1 year old today.
Step-by-step explanation:
Let,
Hannah = x
Biff = y
According to given statement;
y = x+25 Eqn 1
In four years;
y+4 = 6(x+4) Eqn 2
Putting value of y from Eqn 1 in Eqn 2;
Dividing both sides by 5
As x is age of Hannah, therefore,
Hannah is 1 year old today.
Keywords: linear equations, substitution method
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