Question

2+1+1/2+1/4+1/8+...​

Answer 1

1/16, так как каждое следующее число в 2 раза меньше предыдущего

Answer 2

The expression you provided is an infinite series called a geometric series. It is a sum of an infinite number of terms where each term is obtained by multiplying the previous term by a constant ratio.

The general form of a geometric series is given by:

a + ar + ar^2 + ar^3 + ...

where 'a' is the first term and 'r' is the common ratio between consecutive terms.

In your specific case, the first term 'a' is 2, and the common ratio 'r' is 1/2. Therefore, the geometric series is:

2 + 2*(1/2) + 2*(1/2)^2 + 2*(1/2)^3 + ...

To find the sum of this geometric series, you can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r)

where 'a' is the first term and 'r' is the common ratio.

In this case, the sum of the series is:

Sum = 2 / (1 - 1/2) = 2 / (1/2) = 2 * 2 = 4

So, the sum of the series 2 + 1 + 1/2 + 1/4 + 1/8 + ... is equal to 4.