𝐿𝑡 is of the form 𝐿𝑡=𝑎+𝑏𝑡+1
It is given that 𝐿1=−11 and 𝐿6=40.
A) Write a system of two equations that may be used to find the values of the constants 𝑎 and 𝑏 in the expression for 𝐿𝑡.
B) Find the values for 𝑎 and 𝑏 as decimal approximations.