Answer:
an = 10 (-8)^(n-1)
Step-by-step explanation:
In a geometric series, each term is multiplied by a common ratio to get the next term. Such that:
an = a₁ (r)^(n-1)
Here, the first term, a₁, is 10. The common ratio, r, is -8, because each term is multiplied by -8 to get the next term. So:
an = 10 (-8)^(n-1)
Your answer is correct, well done!