What is the explicit formula for this sequence? 2, 10, 50, 250, 1250, …

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

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5