If f(1) =8 and f(n) =1/2f(n-1) + 2 then what is the value of f(4)?I can't get it! PLEASE HELP!!!!!
Answers
Answer 1
Answer:
If you would like to know the value of f(4), you can calculate this using the following steps:
f(n) = 1/2 * f(n-1) + 2
f(1) = 8
f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2
The correct result would be 4 1/2.
f(n) = 1/2 * f(n-1) + 2
f(1) = 8
f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2
The correct result would be 4 1/2.
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Here it is ! I hope that's help !
Answers
Basically what you do is you multiply the denominator (11) by the whole number (4). Then, you add that to the numerator (8).
For this one it would be 11 x 4 = 44
44 + 8 = 52
For this one it would be 11 x 4 = 44
44 + 8 = 52
4 8/11
= 4+ 8/11
= 44/11+ 8/11
= 52/11
The final answer is 52/11~
= 4+ 8/11
= 44/11+ 8/11
= 52/11
The final answer is 52/11~
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