Find the value of the following expression and round to the nearest integer: sum_(n=0)^(66)300(0.95)^(n+1) Answer:

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Find the value of the following expression and round to the nearest integer:  sum_(n=0)^(66)300(0.95)^(n+1) Answer:

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Given series information: We are given a geometric series with the first term a = 300 * 0.95 and the common ratio r = 0.95. The sum of a finite geometric series can be found using the formula S_n = a(1 - r^n) / (1 - r), where n is the number of terms. In this case, we have 67 terms (from n=0 to n=66).Calculate first term: First, calculate the first term of the series: a = 300 * 0.95.Calculate 67th power of common ratio: Now, calculate the 67th power of the common ratio: r^67 = 0.95^67. This will be used in the formula for the sum of the series.Substitute values into sum formula: Substitute the values of a, r, and n into the sum formula: S_67 = 300 * 0.95 * (1 - 0.95^67) / (1 - 0.95).Calculate numerator of fraction: Calculate the numerator of the fraction: 1 - 0.95^67. This requires a calculator for an accurate result.Calculate denominator of fraction: Calculate the denominator of the fraction: 1 - 0.95. This is straightforward and equals 0.05.Divide numerator by denominator: Divide the numerator by the denominator to find the sum of the series: S_67 = 300 * 0.95 * (1 - 0.95^67) / 0.05.Round to nearest integer: Finally, round the result to the nearest integer to get the final answer.

Find the value of the following expression and round to the nearest integer: $\newline$ $\sum_{n=0}^{66} 300(0.95)^{n+1}$ $\newline$ Answer:

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Find the value of the following expression and round to the nearest integer:\newline∑n=066300(0.95)n+1 \sum_{n=0}^{66} 300(0.95)^{n+1} n=0∑66​300(0.95)n+1\newlineAnswer:

Find the value of the following expression and round to the nearest integer: $\newline$ $\sum_{n=0}^{66} 300(0.95)^{n+1}$ $\newline$ Answer: