You know that the balance at the end of the third period is B3 = b3·B0 + (b2+b+1)A when an account is opened with initial deposit B0 , regular deposits A are made at the end of each compounding period, the period interest rate is r , and b=1+r . Starting from B4 = B3 + rB3 + A , you should be able to obtain a formula for B4 of the form B4 = b4·B0 + (Missing terms)·A . What are the missing terms inside the parentheses?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.