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So I can see that to go to the input from step 1 involves a addition of 7, which is the 4th term.

But then I can't figure out any link to the 2nd or other steps.

Any help would be much appreciated. Thanks.

Matthew Towers
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Noobie9000
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  • $(3 \times \text{INPUT})+4$ –  May 28 '21 at 10:45
  • I'm sorry if I'm coming across dumb but I don't understand. – Noobie9000 May 28 '21 at 10:55
  • $X_{II}=(X_I-10)^2$. – TonyK May 28 '21 at 11:01
  • What I do when I encounter a problem like this, is that I tabulate the values and draw a graph in Excel. I did that for the first two steps and I got these results: $$ \text{Step 1 is equivalent to adding 7} $$ $$ \text{Step 2 performs the operation}~x \rightarrow (x-10)^2 $$ etc ... Can you continue from here? – Matti P. May 28 '21 at 11:01
  • $X_{IV}=(X_\text{Input}-1)^2$. – TonyK May 28 '21 at 11:03
  • Fundamentalform's comment, while mysterious at first, is actually correct. When you compare Input and Step 3 (you can forget the other steps), indeed the relation is that it performs the operation $x \rightarrow 3x+4$. For example the first number 17 turns into $3\cdot 17 + 4 = 55$. Now you only have to figure out what Step 4 does in relation to the input, and you're done. – Matti P. May 28 '21 at 11:03
  • Take the first input number, $17$ multiply it by three and add four and you arrive at $55$. Now repeat that pattern for each of the other inputs and you should arrive at the values in Step 3. –  May 28 '21 at 11:03
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    @fundamentalform, we are not given the Input array, only Step III. But we can work backwards to deduce the Input array, and then get Step IV from my previous comment. – TonyK May 28 '21 at 11:06
  • Ahhhhhh. Okay so each of the steps are related in different ways to the input and not the previous statement. I think I understand now. Thanks everyone. – Noobie9000 May 28 '21 at 12:01

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