Determine 5th term in the geometric sequence whose first term id 4 and whose common ratio is 3
term(5) = a r^4
plug in your given values
To find the 5th term in a geometric sequence, we use the formula:
tn = a * r^(n-1)
where:
- tn is the nth term,
- a is the first term, and
- r is the common ratio.
In this case, the first term (a) is 4 and the common ratio (r) is 3. We want to find the 5th term (tn).
Plugging these values into the formula, we get:
t5 = 4 * 3^(5-1)
= 4 * 3^4
= 4 * 81
= 324
Therefore, the 5th term in the geometric sequence is 324.