An investor deposits $10,000 in an account that earns 3.5% interest compounded quarterly. The balance in the

Question:

An investor deposits $10,000 in an account that earns 3.5% interest compounded quarterly. The balance in the account after n quarters is given by
An = 10,000(1 + 0.035/4)n, n = 1, 2, 3, . . .
(a) Write the first eight terms of the sequence.
(b) Find the balance in the account after 10 years by computing the 40th term of the sequence.
(c) Is the balance after 20 years twice the balance after 10 years? Explain.