Find the numerical answer to the summation given below. sum_(n=2)^(61)(5n+9) Answer:

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Find the numerical answer to the summation given below.  sum_(n=2)^(61)(5n+9) Answer:

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Breakdown of Summation: To solve the summation, we need to find the sum of the sequence from n=2 to n=61 for the expression 5n+9. We can break this down into two separate summations: the sum of 5n from n=2 to n=61 and the sum of 9 from n=2 to n=61.Sum of 5n: First, let's find the sum of 5n from n=2 to n=61. This is an arithmetic series where the first term a_1 is 5*2=10, the last term a_60 is 5*61=305, and there are 60 terms in total. The sum of an arithmetic series can be found using the formula S_n = n/2 * (a_1 + a_n), where n is the number of terms, a_1 is the first term, and a_n is the last term.Sum of 9: Using the formula, we calculate the sum of 5n: S_60 = 60/2 * (10 + 305) = 30 * (315) = 9450.Calculate Total Sum: Next, we find the sum of 9 from n=2 to n=61. Since 9 is a constant, the sum is simply 9 times the number of terms, which is 60. So, the sum is 9*60 = 540.Final Answer: Now, we add the two sums together to find the total sum: 9450 (sum of 5n) + 540 (sum of 9) = 9990.Therefore, the numerical answer to the summation ∑_(n=2)^(61)(5n+9) is 9990.

Find the numerical answer to the summation given below. $\newline$ $\sum_{n=2}^{61}(5 n+9)$ $\newline$ Answer:

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Find the numerical answer to the summation given below. $\newline$ $\sum_{n=2}^{61}(5 n+9)$ $\newline$ Answer: