Question
Find a formula for the $n$ th term of the sequence.$$\sqrt{5}-\sqrt{4}, \sqrt{6}-\sqrt{5}, \sqrt{7}-\sqrt{6}, \sqrt{8}-\sqrt{7}, \ldots$$
Step 1
We notice that each term is the difference of two square roots, where the radicand of the first square root is one more than the radicand of the second square root. Show more…
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