Question

Every day, there are 3 times more likes on an internet video of a cat which is modeled by the function c(n) = (3)n − 1, where n is the number of days since the video posted. On the first day, there were 143 likes. What is the function that shows the number of likes each day?

Answer 1

Ask for details FollowReport byShaktimaanss2587 31.03.2018

Answers



abhi178

Function can be given by , c(n) = , here K is constant

Question said , " on first day , there are 100 likes on video " 
Means , put 1 in place of n 
e.g., c(1) = 4 = 100 
K = 100 

Now, question said " every day 4 times more like on that video " 
Means function , c(2) = 4c(1) 
c(3) = 4c(2) = 4 × 4c(1) = 4² c(1) 
c(4) = 4 × c(3) = 4 × 4 × 4 c(1) = 4³c(1) 
..............
...................
c(n) = 4 × 4 × ...... (n -1) times c(1) = 4ⁿ⁻¹ c(1) 
But c(1) = K = 100 
∴ c(n) = 100 4ⁿ⁻¹ 

Hence, answer is 100 4ⁿ⁻¹