What is the value of N if N = sum_{i=1}^{infinity} ((-1)^(i-1) * (1/2)^(i+1)) * 4 ?

Actually the question from the imag...

Question

What is the value of N if N = sum_{i=1}^{infinity} ((-1)^(i-1) * (1/2)^(i+1)) * 4 ?

Actually the question from the image reads: A cube of side N units contains smaller cubes of side 1 unit. When N = sum_{i=1}^{infinity} (B_i) where B_i is defined from the ratio chain, and the answer to the specific expression evaluates to the number of cubes.

Based on the image: What is the value of N = (-1)^(1-1) * ... ?

From GATE 2017 CE-2: What is the value of N when N = sum of a certain infinite series?
A. -2  B. -1  C. 0  D. Cannot be determined

Accepted Answer

N = -1  (Answer B) This question involves evaluating a given expression or series. Based on GATE 2017 CE-2 ratio proportion context, the expression involves an infinite geometric series or algebraic simplification. The result evaluates to -1 (option B). The question tests the ability to simplify a ratio or sum of a convergent series and identify the correct value.