Type the missing numbers in this sequence: _____, 105, _____, 91, 84, 77, 70

Observe Pattern: First, let's observe the pattern in the sequence. We notice that the numbers are decreasing, so we need to determine the common difference between consecutive terms.Find Common Difference: To find the common difference, we can subtract a term from the term that follows it. Let's use the two known consecutive terms: 84 and 77. Common difference = 77 - 84 = -7Find Missing Term Before 105: Now that we know the common difference is -7, we can find the missing term before 105 by adding -7 to 105. Missing term = 105 + (-7) = 98Find Missing Term After 105: Next, we can find the missing term after 105 by subtracting 7 from 105. Missing term = 105 - 7 = 98 This is incorrect since we already have 98 before 105, and the sequence is supposed to be decreasing. We should subtract 7 from 98 instead.

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Type the missing numbers in this sequence: $\newline$ $\_\_\_\_$ , $105$ , $\_\_\_\_$ , $91$ , $84$ , $77$ , $70$

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Precalculus

Find terms of a sequence

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Q. Type the missing numbers in this sequence:

\newline

\_\_\_\_

105

\_\_\_\_

91

84

77

70

Observe Pattern: First, let's observe the pattern in the sequence. We notice that the numbers are decreasing, so we need to determine the common difference between consecutive terms.
Find Common Difference: To find the common difference, we can subtract a term from the term that follows it. Let's use the two known consecutive terms: $84$ and $77$ . $\newline$ Common difference = $77 - 84 = -7$
Find Missing Term Before $105$ : Now that we know the common difference is $-7$ , we can find the missing term before $105$ by adding $-7$ to $105$ . $\newline$ Missing term = $105 + (-7) = 98$
Find Missing Term After $105$ : Next, we can find the missing term after $105$ by subtracting $7$ from $105$ .
Missing term = $105 - 7 = 98$
This is incorrect since we already have $98$ before $105$ , and the sequence is supposed to be decreasing. We should subtract $7$ from $98$ instead.