# Stock market 2

For the week of July 22, the following day to day changes in the stock market was recorded a certain stock: -2 on Monday; +4 Tuesday; -8 Wednesday; + 2 1/2 Thursday; - 3 1/4 Friday. The stock began the week at 78 points. How many points did it finish with at the end of the week?

Result

a5 =  68.75

#### Solution:

$a_{ 0 } = 78 \ \\ a_{ 1 } = a_{ 0 }-2 = 78-2 = 76 \ \\ a_{ 2 } = a_{ 1 } +4 = 76 +4 = 80 \ \\ a_{ 3 } = a_{ 2 }-8 = 80-8 = 72 \ \\ a_{ 4 } = a_{ 3 } + (2 + \dfrac{ 1 }{ 2 } ) = 72 + (2 + \dfrac{ 1 }{ 2 } ) = \dfrac{ 149 }{ 2 } = 74.5 \ \\ a_{ 5 } = a_{ 3 } -(3 + \dfrac{ 1 }{ 4 } ) = 72 -(3 + \dfrac{ 1 }{ 4 } ) = \dfrac{ 275 }{ 4 } = 68.75$

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