Question

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

Answer 1

Answer:

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