Find the sum by listing out sum_(g=4)^(9)5g+3

Question

Find the sum by listing out   sum_(g=4)^(9)5g+3

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find the sum of the series for the expression 5g+3 where g takes on integer values from 4 to 9.List out each term: List out each term of the series. To find the sum, we will calculate each term of the series by substituting the values of g from 4 to 9 into the expression 5g+3.Calculate first term: Calculate the first term when g=4. Substitute g=4 into the expression to get the first term: 5(4)+3 = 20+3 = 23.Calculate second term: Calculate the second term when g=5. Substitute g=5 into the expression to get the second term: 5(5)+3 = 25+3 = 28.Calculate third term: Calculate the third term when g=6. Substitute g=6 into the expression to get the third term: 5(6)+3 = 30+3 = 33.Calculate fourth term: Calculate the fourth term when g=7. Substitute g=7 into the expression to get the fourth term: 5(7)+3 = 35+3 = 38.Calculate fifth term: Calculate the fifth term when g=8. Substitute g=8 into the expression to get the fifth term: 5(8)+3 = 40+3 = 43.Calculate sixth term: Calculate the sixth term when g=9. Substitute g=9 into the expression to get the sixth term: 5(9)+3 = 45+3 = 48.Add all terms together: Add all the terms together to find the sum. Sum = 23 + 28 + 33 + 38 + 43 + 48.Perform the addition: Perform the addition. Sum = 23 + 28 + 33 + 38 + 43 + 48 = 213.

Find the sum by listing out $\newline$ $1$ . $\sum_{g=4}^{9} 5 g+3$

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Find the sum by listing out $\newline$ $1$ . $\sum_{g=4}^{9} 5 g+3$