2. Suppose that the sequence {an} converges to a and that a < 1. Prove that the sequence {(an)"} converges to zero. (Hint: You need to use the fact that |a| < 1. You will need to point out in your proof how are using this.)

Q: Let {xn} denote a sequence of real numbers i. Define what it means for the sequence {xn} to converge,…

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Q: 6. Consider the sequence defined recursively by 1 2 an+1 = an + N an If ao = 1, does the sequence…

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Q: The sequence {1, –2, 4, –8, 16, -32, 64, – 128,...} O a. converges to negative one. O b. converges…

A: Check the limit of nth term. If it exists finitely sequence is convergent otherwise divergent.