Question: Write the sequences {Xn} for n = 1, 2, 3, where (a) Xn = an, (b) Xn = (1 + 1/n)n, (c) Xn = (n)

Write the sequences {Xn} for n = 1, 2, 3, where

(a) Xn = an,

(b) Xn = (1 + 1/n)n,

(c) Xn = (–n) n-1/n!,

Are the sequences {Xn}, given above, convergent?

Suppose the yearly interest rate is 55. Let Δ be a time interval that repeats n times during 1 year, such that we have:

nΔ = 1.

(i) What is the gross return to 1$ invested during Δ?

(ii) Now suppose 5% is the annual yield on a T-ball with maturity Δ. What is the compounds return during one year?


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