Questions from General Calculus

Q: If you deposit $100 at the end of every month into

If you deposit $100 at the end of every month into an account that pays 3% interest per year compounded monthly, the amount of interest accumulated after months is given by the sequence (a). Find th...

Q: Find the limit of the sequence {√2, √2√

Find the limit of the sequence {√2, √2√2, √2√2√2, …}

Q: Find a formula for the general term an of the sequence,

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.

Q: Show that the sequence defined by satisfies 0 < an < 2

Show that the sequence defined by satisfies 0

Q: (a). Let a1 = a, a2 = f (

(a). Let a1 = a, a2 = f (a), a3 = f (a2) = f (f (a))), . . ., an+1 = f (an), where f is a continuous function. If lim n→∞an = L, show that f (L) = L. (b). Illustrate part (a) by taking f (x) = cos x,...

Q: Find a formula for the general term an of the sequence,

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.

Q: Find a formula for the general term an of the sequence,

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.

Q: Find a formula for the general term an of the sequence,

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.

Q: Find a formula for the general term an of the sequence

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.