Question

Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.

Answer 1

Explanation:

The infinite sum of a geometric sequence is given by the formula:

S = a / (1 - r)

where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:

S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12

Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.