solve For the discrete logistic equation \( x_{t+1} = c x_t (1 - x_t) \) and the given values of \( x_0 \) and \( c \), calculate \( x_t \) to four decimal places for \( t = 1, 2, \ldots, 10 \).Given:- \( x_0 = 0.6 \)- \( c = 1.5 \)| \( t \) | \( x_t \) ||---------|------------|| 0 | 0.6000 || 1 | 0.384 || 2 | || 3 | || 4 | || 5 | || 6 | || 7 | || 8 | || 9 | || 10 | |Graph \( x_t \):The graph shows a series of blue dots representing the values of \( x_t \) over time \( t \). The x-axis represents \( t \), and the y-axis represents \( x_t \). The initial value at \( t = 0 \) starts at \( 0.6 \), then quickly stabilizes around \( 0.3 \) for the subsequent values of \( t \). ## Transcription and Diagram Explanation### DiagramsThe image contains two graphs side by side, each plotting a sequence over a given range of values.#### Left Graph- **Axes:** The vertical axis is labeled \( x_t \) and ranges from 0 to 0.8, while the horizontal axis is labeled \( n \) and ranges from 0 to 10.- **Plot:** The graph displays a series of blue dots representing the sequence values at different \( n \). The sequence starts at 0.8 and appears to decrease slightly, as subsequent points hover around 0.6.#### Right Graph- **Axes:** Similarly, the vertical axis is labeled \( x_t \), ranging from 0 to 0.8, and the horizontal axis is also labeled \( n \), ranging from 0 to 10.- **Plot:** A series of blue dots are plotted, with the sequence starting at 0.2 and slightly increasing as \( n \) progresses, stabilizing between 0.4 and 0.6.### Questionnaire**Comment on the behavior of the sequence.**- ○ The sequence increases converging toward 1/3.- ○ The sequence decreases converging toward 1/2.- ○ The sequence increases converging toward 1/2.- ○ The sequence decreases converging toward 1/3.The graphs illustrate the behavior of two sequences over time. The left graph depicts a sequence that slightly decreases, while the right graph shows a sequence that gradually increases. Based on these observations, one can analyze the convergence behavior and determine the most appropriate response from the options provided.

For the discrete logistic equation xt + 1 = Cxt(1 – Xt) and the given values of xo and c, calculate Xt to four decimal places for t = 1, 2, ..., 10. Xo = 0.6, c = 1.5 t Xt 0.6000 1 0.384 3 4 5 6 8 9 10 Graph Xt. 0.6 xt 0.7 xt 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2