3b. Can you find a similar expression for 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵?

Using the same pattern, the sum of powers from 2⁰ through 2⁵ is one less than the next power: 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63 = 2⁶ − 1.

Answer: 2⁶ − 1 = 63.