Let \(2^a + 2^b + 2^c = 42 \) where a ≠ b ≠ c and a, b, c ∈ N. Determine \((1/a) + (1/b) + (1/c)\)
Strictly by inspection
2^1 + 2^3 + 2^5 =
2 + 8 + 32 =
42
So
1/2 + 1/3 + 1/5 =
15/30 + 10/30 + 6/30 =
31 / 30
thank you so much! that's correct
