The following sequences forms a convergent geometric sequence; 5x; x squared;x over 5;….
2.2.1 Determine the possible values of x
2.2.2 If x =2 calculate S
2.2.1 To determine the possible values of x, we need to check if the ratio between each consecutive term is the same.
First, let's take the ratio between the second term and the first term:
(x^2) / (5x) = x/5
Next, let's take the ratio between the third term and the second term:
(x/5) / (x^2) = 1/(5x)
Since the ratio is not constant, this sequence does not form a convergent geometric sequence. Therefore, there are no possible values of x for this sequence.
2.2.2 Since there are no possible values of x, we cannot calculate S for this sequence.