Cho biểu thức A:

To find the value of the expression A, we can simplify the sum of the geometric series.

The sum of a geometric series can be calculated using the formula:

S = a(1 - r^n) / (1 - r)

where:
S = sum of the series
a = first term
r = common ratio
n = number of terms

In this case, the first term (a) is 1, the common ratio (r) is 1/2, and the number of terms (n) is 99.

Plugging these values into the formula, we get:

A = 1(1 - (1/2)^99) / (1 - 1/2)

Simplifying further:

A = (1 - (1/2)^99) / (1/2)

A = 2(1 - (1/2)^99)

Therefore, the value of A is 2 times the quantity 1 minus one-half raised to the power of 99.