Questions: Use the pattern in the sequence or chart to find the missing number. 2, -14, 98, -686, 4802, ? A. -8,918 B. -33,614 C. 8,918 D. 33,614

Transcript text: Use the pattern in the sequence or chart to find the missing number. $2,-14,98,-686,4802$, $\qquad$ $?$ A. $-8,918$ B. $-33,614$ C. 8,918 D. 33,614

Solution

Solution Steps

Step 1: Identify the pattern in the sequence

The given sequence is: $ 2, -14, 98, -686, 4, 802, \qquad ? $.

Observe the pattern between consecutive terms:

$ 2 \times (-7) = -14 $
$ -14 \times (-7) = 98 $
$ 98 \times (-7) = -686 $
$ -686 \times (-7) = 4, 802 $

The pattern involves multiplying each term by $ -7 $ to get the next term.

Step 2: Apply the pattern to find the missing number

The last term in the sequence is $ 4, 802 $. To find the missing number, multiply $ 4, 802 $ by $ -7 $: \[ 4, 802 \times (-7) = -33, 614 \]

Step 3: Match the result with the given options

The calculated missing number is $ -33, 614 $, which corresponds to option B.

Final Answer

The correct answer is B. $\boxed{-33,614}$

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