Write an explicit formula for a, start subscript, n, end subscripta
n
, the n, start superscript, th, end superscriptn
th
term of the sequence 11, comma, 4, comma, minus, 3, comma, point, point, .11,4,−3,....
The given sequence is 11, 4, -3, ...
In general, the pattern can be described as follows:
a, start subscript, n, end subscripta
n
= 11 + (n - 1)(-7)
Therefore, the explicit formula for the n, start superscript, th, end superscriptn
th
term of the sequence is a, start subscript, n, end subscripta
n
= 11 - 7n + 7.