Write a recursive formula for the sequences 2, 5, 11, 23… 9, -18, 36, -72 ... 4,
ID: 3401632 • Letter: W
Question
Write a recursive formula for the sequences
2, 5, 11, 23…
9, -18, 36, -72 ...
4, 68, 314500, …
39, 9, 93, …
6. You are given following recursive function
f(n) = 2*f(n-2)-2
f(1)=2 and f(2)=3
Assume that you want to resample the first m terms of the sequence which derives from this function by skipping every second term. Given that you plot the output of the filtered recursive function (y axis for f(n) and x axis for n), calculate the plot area (filled area) under your graph for the first k terms.
7. Find the first 5 terms of the sequences and draw plots (n is your x axis, f(n) is your y axis).
f(1) = 6
f(n) = f(n-1)/2 + 4
f(1) = 2
f(2) = 4
f(n) = f(n-1)2 + n*f(n-1)
f(1) = 100
f(n) is the f(n-1) decreased by 20%
f(1) = 3
f(n) = f(n-1) +5
f(1) = 3
f(n) = 2f(n-1)
Explanation / Answer
5) a1 = 5 , an =2 an-1 + 1
a1 = 9 , an = (-1)n-1 2 an-1
a1 = 4 , an = an-13 + an-1
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