Question
What is the missing number? 1350,1150, \( \qquad \) 750
Ask by Savage Greene. in Nigeria
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The missing number is 950.
Solution
1. Let the four numbers in the sequence be \( a = 1350 \), \( b = 1150 \), \( c \) (the missing number), and \( d = 750 \).
2. Assuming the sequence is arithmetic, the difference between consecutive terms is constant. Let the common difference be \( r \). Then:
\[
b = a + r, \quad c = b + r, \quad d = c + r.
\]
3. We have:
\[
b = 1350 + r = 1150 \quad \Rightarrow \quad r = 1150 - 1350 = -200.
\]
4. Now, calculate the missing term \( c \):
\[
c = b + r = 1150 + (-200) = 950.
\]
5. Thus, the missing number is \( \boxed{950} \).
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Extra Insights
The missing number in the sequence is 950. The pattern involves subtracting 200 from each number in the sequence: 1350 - 200 = 1150, and then 1150 - 200 = 950, followed by 950 - 200 = 750. Understanding number patterns can help us solve puzzles like this quickly. A common mistake is to overlook the subtraction step and instead guess random numbers; staying organized and methodical helps maintain clarity in solving similar problems in the future!