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(Solved): Based on the pattern observed in Exercise 2.5, how many steps would you expect it to take to find ...



Based on the pattern observed in Exercise 2.5, how many steps would you expect it to take to find the 100th element if there were that many in the list?



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We can see that to find the first element, we need one step. Then, for each subsequent element, we need three more steps than the previous element. Therefore, to find the second element, we need one (from the first element) plus three steps, for a total of four steps. To find the third element, we need four (from the second element) plus three steps, for a total of seven steps. We can continue this pattern to find the number of steps it takes to find any element in the list.
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