Answer:
Next term of the sequence is 351.
Step-by-step explanation:
The given sequence is 13, 39, 117, A.In this sequence we have to find out the next term A of the sequence.
First we will understand whether the sequence is arithmetic or geometric sequence.
Sequence is in the form of 13, 3.(13), 3²(13).....
Therefore the sequence is a geometric sequence having common ratio r = Second term/first term = Third term/Second term
r = 3×13/13 = 3
Therefore nth term of the sequence [tex]T_{n}=ar^{n-1}[/tex]
[tex]T_{n}=13.(3)^{n-1}[/tex]
Since we have to find fourth term A which will be
[tex]T_{4}=A=13(3)^{4-1}=13(3)^{3}[/tex]
A = 13×27 = 351
Next term of the sequence is 351.
