An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
What is an arithmetic sequence?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
For the given table of arithmetic progression, the common difference is equal to,
Common difference = (48-16)/(2-1) = 32
Now, the table can be written as,
Time 1 2 3 4 5 6 7
Distance 16 48 80 112 144 176 208
Further, the blanks can be filled as,
a. The values in the table form an arithmetic sequence.
b. The term values are shown in the second row and the term numbers are shown in the first row.
c. This sequence is associated with a linear function.
d. The domain of the function is the set of time values: from 1 to 7.
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