Acertain arithmetic sequence has the following explicit formula for the nth term: an = 4 + (n - 1)(7) the same sequence has the following recursive formula: an = an-1 + what number belongs in the blank space in the recursive formula?

Step-by-step explanation:

We know that the nth term in Arithmetic sequence is given by :-

..................(1)

Given: A certain arithmetic sequence has the following explicit formula for the nth term:

.............................(2)

When we compare (1) and (2), we get

Also, the recursive formula in A.P. can be written as

Therefore, The same sequence has the following recursive formula:

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: