7) 12, 7, 2, -3,...
Answer:
Let's find the recursive formula, explicit formula, and the indicated term for the given arithmetic sequences.
Sequence 1: 1, 4, 1, 10, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term alternates between adding 3 and subtracting 3.
Recursive formula:
a1 = 1 (the first term)
an = an-1 + (-1)^(n+1) * 3
For example, to find the 4th term (a4) using the recursive formula:
a1 = 1 (the first term)
a2 = a1 + (-1)^(2+1) * 3 = 1 + (-1) * 3 = -2
a3 = a2 + (-1)^(3+1) * 3 = -2 + 1 * 3 = 1
a4 = a3 + (-1)^(4+1) * 3 = 1 + (-1) * 3 = -2
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, since the terms alternate between adding 3 and subtracting 3, the common difference is not constant.
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
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Sequence 2: 12, 7, 2, -3, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term decreases by 5.
Recursive formula:
a1 = 12 (the first term)
an = an-1 - 5
For example, to find the 4th term (a4) using the recursive formula:
a1 = 12 (the first term)
a2 = a1 - 5 = 12 - 5 = 7
a3 = a2 - 5 = 7 - 5 = 2
a4 = a3 - 5 = 2 - 5 = -3
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, the common difference is -5.
Explicit formula:
an = 12 + (n - 1)(-5)
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
Please provide the term number or the position of the term in the sequence so that I can help you find the indicated term.
Step-by-step explanation:
3x3 + 5x + 2
3x2 + 5x2 + 2x
3x5 + 5x3 + 2x2
Answer:
(A)
Step-by-step explanation:
To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.
Solution: The given statement can be easily rewritten as:
,
and
Thus, according to the statement, the expression can be written as:
⇒
which is the required simplified expression.
Thus,option A is correct.
Answer:
A: 3^3 + 5x + 2/x
Step-by-step explanation:
Answer:add the exponets
Step-by-step explanation:
Answer:
3 ounces more
Step-by-step explanation:
50*3 =1.50
3.00+1.50= 4.50
The correct answer is option B) 4 steps in front of where he started.
Edward moves forward 3 steps, then back 3 steps, then back 4 steps, then forward 5 steps, then forward 10 steps, and finally back 7 steps.
The total number of steps Edward moves forward is 3 + 5 + 10 = 18 steps.
The total number of steps Edward moves back is 3 + 4 + 7 = 14 steps.
So, Edward ends up 18 - 14 = 4 steps in front of where he started.
Therefore, the correct answer is option B) 4 steps in front of where he started.
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