A deposit of $225 is made at the beginning of each month into an account at an a

Question

A deposit of $225 is made at the beginning of each month into an account at an annual interest rate of 3% compounded monthly. The balance in the account after n months in A_n = 225(401))1.0025^n - 1). Find the balance in the account after 4 years by computing the 48th term of the sequence. Round your answer to two decimal places. Suppose a ball it dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.85h feet. Find the total distance traveled by the ball. Round your answer to two decimal places. Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the teal used. sigma_n =1^infinity 2 middot 4 middot 6 ... 2N/N! Identify the most appropriate tea to be used to determine whether the series sigma_n =1^infinity 1/1 + e^-N converges or diverges. Use any method to find integral 3x^3 + 4x/(x^2 + 1)^2 dx integral_0^6 x/squareroot 4 + x dx Use L'Hopital's Rule to evaluate .lim_x rightarrow infinity e^2x/x^2 Find lim_x rightarrow infinity (ln x)^2/x Does integral_1^infinity 1/4 squareroot x dx diverge or converge: If it converges then evaluate.

Explanation / Answer

n=1 to (2*4*6*......*2n)/n!

n=1 to (2n(1*2*3*......*n))/n!

n=1 to (2n(n!))/n!

n=1 to 2n

nth term test

limn-> 2n

=2

=

therefore series diverges

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