Final answer:
To find the sum of the first 10 terms in a geometric series, use the formula Sum = a * (1 - r^n) / (1 - r), where a is the first term and r is the common ratio. Plugging in the values, we find that the sum is 29524.
Step-by-step explanation:
To find the sum of the first 10 terms in a geometric series, we can use the formula:
Sum = a * (1 - r^n) / (1 - r)
In this case, a = 1 (the first term) and r = 3 (the common ratio). Plugging these values into the formula, we get:
Sum = 1 * (1 - 3^10) / (1 - 3)
Simplifying, we have:
Sum = 1 * (1 - 59049) / (1 - 3)
Sum = -59048 / -2
Sum = 29524
Therefore, the sum of the first 10 terms in the geometric series is 29524.