Consider the sequence (An) whose n
th−term is given by An = P 1 +
r
12
n
where P is the principal, An is the account
balance after n months and r is the interest rate compounded annually.
i. Is (An) a convergent sequence? Explain.
ii. Find the first 5 terms of the sequence if P = Ksh.10, 000 and r = 0.055