A geometric sequence is defined recursively by an = 3an – 1 . The 1st term of the sequence is 2.7. Write the explicit formula for the sequence.

Question

A geometric sequence is defined recursively by  an = 3an – 1 . The 1st term of the sequence is 2.7. Write the explicit formula for the sequence.

jhonyy9 · Answer

do you know how you can get this 2,7 result for the 1st term  ?

Mercury · Answer

old question, answering so this can be closed

explicit geometric sequence formula$$a(n)=a_{1}(r)^{n-1}$$

a1 is already given as 2.7. all you need to do is figure out r from the recursive formula. look at the recursive formula and figure out what number we multiply by to get to the next term.