Determine if the sequence is an arithmetic sequence. If it is, then find the
1 answer:
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Given:
The given sequence is:
To find:
The recursive formula for , the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, is the common difference.
Putting in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t >
t > 2
From the given graphs, Option (C) will be the answer.