Answer:
Explanation:
Given a geometric sequence.
2, 6, 18, 54, …
We have to find the I and nth term.
A geometric sequence. is one where each term is multiplied by a constant value to get the next term.
In our sequence, we find the pattern as each term is multiplied by 3 to get successive terms.
Hence common ratio r = 3
First term = a = 2
For Geometric sequence nth term = a_n = ar^(n-1)
Hence we get a_1 = 2
and a_n = 2(3)^(n-1)
By substituting for n any natural number we can get that term.