Final answer:
To find the sum of the given series, we can use the formula for the sum of a geometric series. In this case, the sum is 0.
Step-by-step explanation:
To find the sum of the given series 1+1.09+1.0⁹²+1.09⁹³+⋯+1.0⁹¹³, we can use the formula for the sum of a geometric series. In a geometric series, each term is obtained by multiplying the previous term by a constant ratio. In this series, the common ratio is 1.09. We can use the formula S = a * (r^n - 1) / (r - 1), where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms. Plugging in the values, we get:
S = 1 * (1.09^0 - 1) / (1.09 - 1)
Simplifying this expression, we find:
S = 1 * (1 - 1) / (1.09 - 1)
S = 0 / 0.09
Therefore, the sum of the series is 0.