gamingbounty853
gamingbounty853 gamingbounty853
  • 16-06-2021
  • Mathematics
contestada

If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).

If f1 2 and fn fn 12 3 then find the value of f3 class=

Respuesta :

coolstick
coolstick coolstick
  • 16-06-2021

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

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