Pear sharing

Ivan and Miranda shared pears in the mission. Ivan always takes two pears, and Miranda takes half of what remains in the mission. Thus, Ivan, Miranda, Ivan, Miranda, and finally Ivan, who took the last two pears, took them away.

Definitely. Who had more pears, in the end, and how many?

Final Answer:

I =  6
M =  8
d =  2

Step-by-step explanation:

$$\begin{gathered} m_5=2 \\ {m}_4=m_5\cdot 2=2\cdot 2=4 \\ {m}_3=m_4+2=4+2=6 \\ {m}_2=m_3\cdot 2=6\cdot 2=12 \\ {m}_1=m_2+2=12+2=14 \\ I=3\cdot 2=6 \end{gathered}$$

$$\begin{gathered} M=m_1-I=14-6=8 \\ M>I \end{gathered}$$

$d=M-I=8-6=2$

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