Question
Calculate \( \sum_{i=1}^{10} 1 \)
Ask by Warner Bright. in South Africa
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is 10.
Solution
To calculate the sum \( \sum_{i=1}^{10} 1 \), you're essentially adding the number \(1\) ten times:
\[
\sum_{i=1}^{10} 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 10
\]
**Answer:** \(10\)
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Extra Insights
The sum \( \sum_{i=1}^{10} 1 \) simply adds the value 1 a total of 10 times. So, you would be calculating \( 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 \), which equals 10. Thus, the result is 10. Moreover, this technique of summing identical values can be applied in various real-world scenarios! For example, if you wanted to count the number of steps you take every day for a week, you could use a similar approach for a more extensive tally! Just multiply the number of steps (or the value you have) by the number of days to get your total, making counting a breeze!