Question

simplifique: 2^n+1 + 2^n+2 + 2^n+3

Answer 1

2^n+1 + 2^n+2 + 2^n+3=
=2^n.2^1+2^n.2^2+2^n.2^3
=2^n.2+2^n.4+2^n.8
=2^n(2+4+8)
=2^n(14)
=14.2^n