To find the fifth term in the sequence, let us observe the progression and follow the provided data step by step. Here are the given terms:
1. First term (t1): 2
2. Second term (t2): 4
3. Third term (t3): 8
4. Fourth term (t4): 5
5. Fifth term (t5): 25
6. Sixth term (t6): 125
We want to identify the fifth term in this sequence.
Solution:
1. First term, [tex]\( t_1 = 2 \)[/tex]
2. Second term, [tex]\( t_2 = 4 \)[/tex]
3. Third term, [tex]\( t_3 = 8 \)[/tex]
4. Fourth term, [tex]\( t_4 = 5 \)[/tex]
5. Fifth term, [tex]\( t_5 = 25 \)[/tex]
The fifth term in this series is [tex]\( t_5 = 25 \)[/tex].
By carefully following the given series information, we have determined that the fifth term is [tex]\( \boxed{25} \)[/tex].
