Respuesta :
Answer:
For given sequence f(0) is 33 and common difference is -14
Solution:
Given sequence rule of arithmetic sequence is f(x) = f(x-1) – 14
Also given that f(2) = 5.
We need to evaluate f(0)
Lets first calculate f(1) from f(2)
Putting x = 2 in given sequence rule , we get
f(2) = f(2-1) – 14
f(2) = f(1) – 14
On rearranging terms, we get
f(1) = f(2) + 14
= 5 + 14 = 19
Substituting x = 1 in sequence rule
f(1) =f(1-1) – 14=f(0) - 14
substituting calculated value of f(1)
19 = f(0) – 14
f(0) = 19 + 14 = 33.
Common difference of the sequence
f(2) –f(1) = 5 – 19 = -14
hence for given sequence f(0) is 33 and common difference is -14.
