The explicit formula for the arithmetic sequence can be written as aₓ=10+(x-1)20x, where x represents the number of terms.
An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.
aₓ = a₁ + (x-1)r
where,
aₓ is the nth term of the sequence,
a₁ is the first term of the sequence,
r is a common difference between every two terms.
The first term of the given arithmetic sequence is 10.
The common difference between any two consecutive terms will be,
D = (-10 - 10) = -20
Therefore, The explicit formula for the arithmetic sequence can be written as aₓ=10+(x-1)20x, where x represents the number of terms.
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