1 / 2 ^ 1 + 1 / 2 ^ 2 + 1 / 2 ^ 3 +. + 1 / 2 ^ n is equal to what? How? Which formula?

1 / 2 ^ 1 + 1 / 2 ^ 2 + 1 / 2 ^ 3 +. + 1 / 2 ^ n is equal to what? How? Which formula?

1/2^1+1/2^2+1/2^3+.+1/2^n
=1/2^1 *[1-(1/2)^n]/(1-1/2)
=1-(1/2)^n
We use the summation formula of the first n terms of the equal ratio sequence,
Sn=a1(1-q^n)/(1-q)
In this case, the common ratio is 1 / 2 and the number of terms is n