Answer:
Step-by-step explanation:
We have been given the sequence 2, 10, 50, 250, 1250, …
The first term is 2.
When we multiply this term by 5 then we get the second term which is 10
Similarly, When we multiply second term by 5 then we get the third term which is 50.
So, we can conclude that every time we multiply 5 to any term we'll get the next term.
In other words, we can say that the ratio of two consecutive term of this sequence is equal. And hence the sequence is a geometric sequence with common ratio r = 5
nth term of geometric sequence is given by
On substituting the known values, we get
Therefore, the explicit formula is given by