To find an explicit formula for the given sequence, we can observe that each term is obtained by adding 9 to the previous term. Therefore, we can express the nth term as:
a_n = a_1 + (n-1)d
Where:
a_1 = 26 (the first term)
d = 9 (the common difference)
Substituting the values, we get:
a_n = 26 + (n-1)9
Simplifying further:
a_n = 26 + 9n - 9
a_n = 9n + 17
Thus, the explicit formula for the nth term of the sequence is a_n = 9n + 17.
Write an explicit formula for a, start subscript, n, end subscripta
n
, the n, start superscript, th, end superscriptn
th
term of the sequence 26, comma, 35, comma, 44, comma, point, point, .26,35,44,....
1 answer