Find an equation for the nth term of the arithmetic sequence. 8, 6, 4, 2, …
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n – 1)
a represents the first term of the sequence.
d represents the common difference( Common difference is the difference between a term and the previous consecutive term).
n represents the number of terms in the sequence.
From the information given,
a = 8
d = 6 – 8 = 4 – 6 = – 2
The equation for the nth term of the arithmetic sequence would be
Tn = 8 + – 2(n – 1)