What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = –14 + (n – 1)(2)
(1 point)
Responses
232
232
230
230
2
2
4
4
To find the ninth term of the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:
A(n) = a + (n-1)d
In this case, the rule is given as A(n) = –14 + (n – 1)(2).
Substituting n = 9 into the formula, we have:
A(9) = -14 + (9 - 1)(2)
= -14 + 8(2)
= -14 + 16
= 2
Therefore, the ninth term of the arithmetic sequence is 2.
To find the ninth term of an arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2), we can substitute n = 9 into the formula.
A(9) = -14 + (9 - 1)(2)
= -14 + 8(2)
= -14 + 16
= 2
Therefore, the ninth term of the sequence is 2.