Question:
The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
[tex]nth\ term = \frac{3n^2}{2}[/tex]
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]
[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]
[tex]5th\ term = \frac{75}{2}[/tex]
[tex]5th\ term = 37.5[/tex]
Hence, the 5th term of the sequence is 37.5
