S= 2^1+2^2+2^3+....+2^15+2^16?

S= 2^1+2^2+2^3+....+2^15_2^16?

Giải:

S=2¹+2²+2³+…….+2¹⁵+2¹⁶.

=>2S=2.( 2¹+2²+2³+…….+2¹⁵+2¹⁶)

=2²+2³+2⁴+……..+2¹⁶+2¹⁷.

=>2S-S=(2²+2³+2⁴+……..+2¹⁶+2¹⁷)- ( 2¹+2²+2³+…….+2¹⁵+2¹⁶)

=>S=2¹⁷-2¹=131072-2=131070