Question
Find the second, fourth, and eleventh terms of the sequence described by the rule.A(n)equalsnegative 4plus(nminus1)(6)Question content area bottomPart 1A(2)equalsenter your response here (Simplify your answer.)
Answers
Answered by
GPT-4o mini
To find the terms of the sequence described by the rule \( A(n) = -4 + (n - 1)(6) \), we can plug in the values of \( n \) for the second, fourth, and eleventh terms.
1. **Finding \( A(2) \)**:
\[
A(2) = -4 + (2 - 1)(6)
\]
\[
= -4 + (1)(6)
\]
\[
= -4 + 6
\]
\[
= 2
\]
2. **Finding \( A(4) \)**:
\[
A(4) = -4 + (4 - 1)(6)
\]
\[
= -4 + (3)(6)
\]
\[
= -4 + 18
\]
\[
= 14
\]
3. **Finding \( A(11) \)**:
\[
A(11) = -4 + (11 - 1)(6)
\]
\[
= -4 + (10)(6)
\]
\[
= -4 + 60
\]
\[
= 56
\]
### Summary of Results:
- \( A(2) = 2 \)
- \( A(4) = 14 \)
- \( A(11) = 56 \)
So the values are:
- \( A(2) = 2 \)
- \( A(4) = 14 \)
- \( A(11) = 56 \)
1. **Finding \( A(2) \)**:
\[
A(2) = -4 + (2 - 1)(6)
\]
\[
= -4 + (1)(6)
\]
\[
= -4 + 6
\]
\[
= 2
\]
2. **Finding \( A(4) \)**:
\[
A(4) = -4 + (4 - 1)(6)
\]
\[
= -4 + (3)(6)
\]
\[
= -4 + 18
\]
\[
= 14
\]
3. **Finding \( A(11) \)**:
\[
A(11) = -4 + (11 - 1)(6)
\]
\[
= -4 + (10)(6)
\]
\[
= -4 + 60
\]
\[
= 56
\]
### Summary of Results:
- \( A(2) = 2 \)
- \( A(4) = 14 \)
- \( A(11) = 56 \)
So the values are:
- \( A(2) = 2 \)
- \( A(4) = 14 \)
- \( A(11) = 56 \)