Pregunta
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
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The sum of the 10 consecutive integers starting from 4 is 85.
Solución
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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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!
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