Question
Use mathematical induction to prove the following assertions.$$\text { If } a_{1}=1 \text { and } a_{n+1}=2 a_{n}+1, \text { then } a_{n}=2^{n}-1$$
Step 1
When $n=1$, we have $a_1=1$. According to the given formula, $a_1=2^1-1=1$. So, the base case holds. Show more…
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