Find the
second,
fourth, and
tenth terms of the sequence described by the rule.
A(n)
=
10
+(n
−1)(
9)
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Part 1
A(
2)
=
enter your response here
(Simplify your answer. Type an integer or a decimal.)
To find the second term of the sequence, substitute n = 2 into the rule:
A(2) = 10 + (2 - 1)(9)
A(2) = 10 + (1)(9)
A(2) = 10 + 9
A(2) = 19
So, the second term of the sequence is 19.
To find the fourth term of the sequence, substitute n = 4 into the rule:
A(4) = 10 + (4 - 1)(9)
A(4) = 10 + (3)(9)
A(4) = 10 + 27
A(4) = 37
So, the fourth term of the sequence is 37.
To find the tenth term of the sequence, substitute n = 10 into the rule:
A(10) = 10 + (10 - 1)(9)
A(10) = 10 + (9)(9)
A(10) = 10 + 81
A(10) = 91
So, the tenth term of the sequence is 91.