Question
The terms in this sequence increase by the same amount each time. Work out the three missing terms to complete the sequence. 4rarr longrightarrow rarr longrightarrow longrightarrow rarr16 rarr
Answer
4.7
(227 Votes)
Rhoswen
Elite · Tutor for 8 years
Answer
7, 10, 13
Explanation
1. The given sequence is an arithmetic sequence, which means that each term increases by a constant difference.2. To find the common difference, we can use the formula:
Where:
is the nth term (in this case, 16),
is the first term (in this case, 4), and
is the total number of terms (in this case, 5).3. Plugging in the given values, we get:
4. This means that the common difference is 3.5. Using this common difference, we can find the missing terms:First missing term = 4 + 3 = 7Second missing term = 7 + 3 = 10Third missing term = 10 + 3 = 136. Therefore, the three missing terms are 7, 10, and 13.