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?

Correct result:

a₅ =  68.75

Solution:

$$\begin{gathered} a_0=78 \\ {a}_1=a_0-2=78-2=76 \\ {a}_2=a_1+4=76+4=80 \\ {a}_3=a_2-8=80-8=72 \\ {a}_4=a_3+(2+{\displaystyle \frac{1}{2}})=72+(2+{\displaystyle \frac{1}{2}})={\displaystyle \frac{149}{2}}=74.5 \\ {a}_5=a_3-(3+{\displaystyle \frac{1}{4}})=72-(3+{\displaystyle \frac{1}{4}})={\displaystyle \frac{275}{4}}=68.75 \end{gathered}$$

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