Question
15-Second Questions [2 points each] 1. What is the sum of the 10 consecutive integers starting from 4 ?
Ask by Martinez Davies. in the Philippines
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum of the 10 consecutive integers starting from 4 is 85.
Solution
To find the sum of 10 consecutive integers starting from 4:
The integers are: 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.
Using the formula for the sum of an arithmetic series:
\[
\text{Sum} = \frac{(\text{First} + \text{Last}) \times \text{Number of terms}}{2} = \frac{(4 + 13) \times 10}{2} = \frac{17 \times 10}{2} = 85
\]
**Answer:** 85
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Simplify this solution Extra Insights
To find the sum of 10 consecutive integers starting from 4, you can use the formula for the sum of an arithmetic series. The sum \( S_n \) of the first \( n \) terms can be calculated by \( S_n = \frac{n}{2} \times (a + l) \), where \( a \) is the first term, \( l \) is the last term, and \( n \) is the number of terms. Here, \( a = 4 \), \( n = 10 \), and the last term \( l = 4 + 9 = 13 \). So, \( S_{10} = \frac{10}{2} \times (4 + 13) = 5 \times 17 = 85 \). The sum of the 10 consecutive integers starting from 4 is 85!
