Write an explicit formula for the following sequence a1=1875,r=0.2

for any geometric sequence,

a_n = a * r^(n-1)
so plug in your numbers

an = 1875 r^(n-1)

To find an explicit formula for a given arithmetic sequence, we can use the formula:

an = a1 + (n-1)d

Where an represents the nth term of the sequence, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.

In this case, a1 = 1875 and r = 0.2. However, since r refers to the common ratio in a geometric sequence and you mentioned arithmetic sequence, I assume you meant d = 0.2 as the common difference.

Therefore, the explicit formula for the sequence is:

an = 1875 + (n-1)(0.2)

To find the explicit formula for the sequence with first term a1 = 1875, and a common ratio r = 0.2, we can use the formula for the nth term of a geometric sequence.

The formula for the nth term of a geometric sequence is:
an = a1 * r^(n-1)

In this case, we can substitute the given values of a1 and r into the formula:
an = 1875 * (0.2)^(n-1)

Now, we have the explicit formula for the sequence:
an = 1875 * (0.2)^(n-1)

This formula allows us to calculate any term of the sequence by plugging in the value of n. For example, to find the 5th term, we would substitute n = 5 into the formula:

a5 = 1875 * (0.2)^(5-1)
a5 = 1875 * (0.2)^4
a5 = 1875 * 0.0016
a5 = 3