Type the missing number in this sequence: 75, 80, 85, 90, _____, 100, 105

Observe pattern: We observe the sequence to determine the pattern. The numbers are increasing by a constant difference.Calculate differences: We calculate the difference between consecutive terms in the sequence. The difference between 80 and 75 is 5, and the difference between 85 and 80 is also 5.Apply difference to find missing number: We apply the same difference to find the missing number. Since the difference is 5, we add 5 to the last known number before the missing number, which is 90. 90 + 5 = 95Check result: We check if adding 5 to the missing number gives us the next number in the sequence. Adding 5 to 95 should give us 100. 95 + 5 = 100

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Type the missing number in this sequence: $\newline$ $75,\;80,\;85,\;90,\;\_\_\_\_,\;100,\;105$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

75,\;80,\;85,\;90,\;\_\_\_\_,\;100,\;105

Observe pattern: We observe the sequence to determine the pattern. The numbers are increasing by a constant difference.
Calculate differences: We calculate the difference between consecutive terms in the sequence. The difference between $80$ and $75$ is $5$ , and the difference between $85$ and $80$ is also $5$ .
Apply difference to find missing number: We apply the same difference to find the missing number. Since the difference is $5$ , we add $5$ to the last known number before the missing number, which is $90$ . $\newline$ $90 + 5 = 95$
Check result: We check if adding $5$ to the missing number gives us the next number in the sequence. Adding $5$ to $95$ should give us $100$ . $\newline$ $95 + 5 = 100$