ACT Advanced Math Problems

Check out some Advanced ACT Math problem below! 

1. The IRS max to contribute to a 401K is 18,000. If Sam deposits the money every year for 35 years, how much will he eventually have? Assume the annual average rate of return is 6%.



2. Alternatively, Sam can invest $400,000 now and keep that money in a retirement account. The account will grow 5% annually. How much will he have in the account after 35 years?



3. Find the sum of the first 10 terms: 8,1,-6,…



4. Find the sum of the infinite series: 3,1/3, 1/9,…



5. Find the sum of the first 12 terms: 6,-18,54,…


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