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
4.3
(301 Votes)
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
### \( \text{Last Missing Number} = 79 + (6 - 1) \times 13 = 79 + 5 \times 13 = 144 \)