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The Numbers in This Sequence Increase by 13 Each Time. Find the Missing Numbers. Boxed (92 Boxed {105) 118 Square Boxed (144) Square }

Question

The numbers in this sequence increase by 13 each time. Find the missing numbers. boxed (92 boxed (105) 118 square boxed (144) square )

Answer

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Verificación de expertos
Thalia Professional · Tutor for 6 years

Answer

The missing numbers are and

Explanation

## Step 1:To find the missing numbers in an arithmetical sequence (where each term increase with a constant number), we use the formula: ### \( a[n] = a[1] + (n - 1) \cdot d \)where, - is the first term, - is the difference between consecutive terms, - is the position of the term in the sequence.In our case, the difference between consecutive terms is given as 13.## Step 2:Calculate the first missing number:From the context of the request, we can calculate the third element in the sequence named which will be:### ## Step 3:Calculate the second missing number:This will come 4 places after 79, so n = 4### \( \text{Next Missing Number} = 79 + (4 -1) \times 13 = 79 + 3 \times 13 = 118 \)## Step 4:Find the last missing number in the sequence, again placing it in the correct place ### \( \text{Last Missing Number} = 79 + (6 - 1) \times 13 = 79 + 5 \times 13 = 144 \)