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Mathematics 17 Online
OpenStudy (leozap1):

*Fan & medal* What do I do for this...? Please explain, as I have a ton of them I need to do.

OpenStudy (leozap1):

Vocaloid (vocaloid):

for each "iteration" you take the output value of the function and input it into the function again

Vocaloid (vocaloid):

so, since f(1) = 2, then for the next iteration f2(1), you put 2 into the function, and double it to get 4

Vocaloid (vocaloid):

obviously, as the number of iterations increases, the output value keeps doubling. you can verify this by performing the 10 iterations yourself

OpenStudy (leozap1):

So the next one would be f^4(1) = 2 * 2 * 2 * 2 * 1 = 16?

Vocaloid (vocaloid):

yeah

OpenStudy (leozap1):

Okay, so I just do that 10 times?

Vocaloid (vocaloid):

I presume so, you can stop at f10

OpenStudy (leozap1):

Okay thanks, and for the second part I just do the same, but negative?

Vocaloid (vocaloid):

yes

OpenStudy (leozap1):

Okay thanks! :D

OpenStudy (leozap1):

Okay, so just like this for part 1? f^4(1) = 2 * 2 * 2 * 2 * 1 = 16 f^5(1) = 2 * 2 * 2 * 2 * 2 * 1 = 32 f^6(1) = 2 * 2 * 2 * 2 * 2 * 2 * 1 = 64 f^7(1) = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 1 = 128 f^8(1) = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 1 = 256 f^9(1) = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 1 = 512 f^10(1) = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 1 = 1024

Vocaloid (vocaloid):

yeah

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