The electrical current InI_nIn, measured in milliamperes, flowing through a logic gate is monitored at discrete clock cycles. The sequence of current values is defined by the recurrence relation
I1=0.4andIn+1=12Infor n≥1 I_1 = 0.4 \quad \text{and} \quad I_{n+1} = \frac{1}{2I_n} \quad \text{for } n \ge 1 I1=0.4andIn+1=2In1for n≥1Find the values of I2I_2I2, I3I_3I3 and I4I_4I4.
State the period of the sequence.
Determine the exact value of ∑n=1101In\sum_{n=1}^{101} I_n∑n=1101In.
