Find the next 4 terms of this Fibonacci sequence -x, x+y, y

see explanation

Step-by-step explanation:

Any term in a Fibonacci sequence is the sum of the previous 2 terms.

Given the first 3 terms then

a₄ = a₂ + a₃ = x + y + y = x + 2y

a₅ = a₃ + a₄ = y + x + 2y = x + 3y

a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y

a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y

Thus the next four terms are

x + 2y, x + 3y, 2x + 5y, 3x + 8y

the answer is c. 23/3

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)