Write a recursive rule for the sequence.
X, X, 2x, 3x, 5x, 8x, ...

The recursive rule for the sequence is

= x

= x

= +

Step-by-step explanation:

∵ The first term is x

∴ = x

∵ The second term is x

∴ = x

∵ The third term is 2x

- That means the third term is the sum of the 1st and 2nd terms

∴ = +

∵ The fourth term is 3x

∴ = +

∵ The fifth term is 5x

∴ = +

∵ The sixth term is 8x

∴ = +

From all above the sequence is Fibonacci sequence where its recursive rule is

= first term

= second term

= +

The recursive rule for the sequence is

= x

= x

= +

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

536

step-by-step explanation: