2. Some mistakes I’m most likely to make are during problems where they give you two terms that aren’t consecutive, for example the 4th and 20th term. With problems like these one is hard for me sometimes to find the recursive definition.
3. Find the Recursive Definition for the following sequence:
{ 1, 3, 7, 15, 31 ... }
2 comments:
Find the Recursive Definition for the following sequence:
{ 1, 3, 7, 15, 31 … }
Ans: Tn = T(n-1) + 2 ^ (n-1)
It is quite easy to see if the sequence is geometric or arithmetic. You just need to check the difference between several terms, if the difference is the same then it is arithmetic. If not, then find the ratio between the terms, if the ratio is the same then it's geometric. If neither the ratio or the difference are the same then the sequence isn't arithmetic or geometric.
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