Question

245 500 1,010 2,030 The sequence above can be expressed

Answer 1

Answer:

12

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12

Answer 2

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