Determine the current through each resistor, Electrical Engineering

For the circuit of Fig 1a:

(i) Using Ohm's Law, determine the equivalent resistance across the battery

(ii)  determine the current through each resistor

(iii) the arrangement of resistors in Fig 1a can be considered as two 1Ω~2Ω sections, terminated by a 1Ω~1Ω section. Deduce a formula for the current through the final 1Ω~1Ω section for the general case of 'N' 1Ω~2Ω sections, as shown in Fig 1

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