The following table shows the average returns for some of the largest mutual funds commonly found in retirement plans. (Assume end-of-month deposits and withdrawals and monthly compounding, and assume that the quoted rate of return continues indefinitely.)   Mutual Fund Fidelity Growth Company Vanguard 500 Index PIMCO Total Return Vanguard Total Bond Market Index Rate of Return 15.83% 13.25% 3.77% 3.67% Type Stock fund Stock fund Bond fund Bond fund   How much should you pay each month into a retirement account invested in the Vanguard bond fund if you wish to retire in 25 years with an investment valued at one million dollars?

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.