Answer: Here you go
Explanation:
We can see that each term in the sequence is obtained by multiplying the previous term by 5. Therefore, the nth term can be found using the formula:
a_n = a_{n-1} * 5
where a_1 = 8.
Using this formula, we can find the 4th term:
a_2 = a_1 * 5 = 8 * 5 = 40
a_3 = a_2 * 5 = 40 * 5 = 200
a_4 = a_3 * 5 = 200 * 5 = 1000
So, the 10th term can be found as:
a_10 = a_9 * 5 = (a_8 * 5) * 5 = ((a_7 * 5) * 5) * 5 = ... = a_1 * 5^9
We can simplify this expression by noticing that 5^9 = 1953125. Therefore:
a_10 = 8 * 1953125 = 15625000
Rounding to the nearest thousandth gives us:
a_10 ≈ 15625.000
Therefore, the 10th term of the sequence is approximately 15625.000.