B. Arithmetic Sequences
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B. Arithmetic Sequences
An arithmetic sequence is an ordered list of terms where the difference between consecutive terms is constant. This constant is called the common difference and is symbolized by \(d \). To determine the common difference, take any pair of consecutive terms in the
sequence, and subtract the first
term
from the second
term, \(d = t_n - t_{n - 1} \). To find the next
term
in the
sequence,
add \(d \) to the previous
term, \(t_n = t_{n - 1} + d \). For a
sequence
to be considered arithmetic, each pair of consecutive
terms
must have a common difference, \(d \).