Answer:
12
Step-by-step explanation:
if I have understood the question correctly
f(n+1) = a*f(n) + k
using two consecutive values of the given sequence
500 = a*245 + k or it can be written as a*245+k -500 = 0
1010 = a*500+k or it can be written as a*500+k - 1010 = 0
therefore
a*245+k -500 = a*500+k - 1010
a*245-a*500 = -1010 + 500
-255a = -510 a=510/255=2
using this value in the original equation
500 = 2 *245 + k
k = 500 - 2 *245 = 10
a+k = 2+10 = 12
