My Math Forum table difference

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 April 12th, 2019, 06:58 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,757 Thanks: 2138 a) The first differences are a non-zero constant and the second differences are all zero, so the values are consistent with a linear relationship. By inspection, $y = 12x + 5$. b) The y-values and the first differences have a non-zero ratio. This is consistent with an exponential relationship. By inspection, $y = 3^x$. The second differences aren't shown (ratios being shown instead, although differences were asked for). c) The second differences are a non-zero constant, so the table is consistent with a quadratic relationship. By inspection, $y = 2x^2 - 3x + 5$. d) The first differences are a non-zero constant and the second differences are all zero, so the values are consistent with a linear relationship. By inspection, $y = -5x - 2$.
 April 12th, 2019, 02:41 PM #3 Member   Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0 Thank you so much, yes D is A linear relationship.. i missed typed it. For B): The y is 3, 27, 243, 2187, 19683. First difference = 24, 216, 1944, 17496. (Not 17676). correction so the second table Second difference is 9, 9, 9 The relationship is Exponential, in first difference. Regards Dan Last edited by yorkmanz; April 12th, 2019 at 02:55 PM.
 April 12th, 2019, 07:14 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,757 Thanks: 2138 b) The second differences should be 216 - 24 = 192, 1944 - 216 = 1728, and 17496 - 1944 = 15552.
April 12th, 2019, 10:31 PM   #5
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Joined: Jan 2019
From: tornto

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Quote:
 Originally Posted by skipjack b) The second differences should be 216 - 24 = 192, 1944 - 216 = 1728, and 17496 - 1944 = 15552.
Thanks for correcting me.

Regards

Dan

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