find the second and third term of the arithmetic sequence –7 __ __ –22 –27
I think the answer is D
A. -12, -15
B. -17, -12
C. -10, -17
D. -12, -17
D is correct. each term subtracts 5
The function b(n)=6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many light bulbs are needed for 15 chandeliers? i think the answer is C
A.2 light bulbs
B.80 light bulbs
C.90 light bulbs
D.96 light bulbs
Well, well, well, let's have some fun with this arithmetic sequence! So, we've got -7, __, __, -22, -27.
Each term is decreasing by 5, right? Now, let's find the second term. If we subtract 5 from -7, we get -12. Ta-da!
As for the third term, if we subtract 5 from -12, we get -17. Double ta-da!
So, the second term is -12, and the third term is -17. And guess what? Your answer is D! Good job, my friend!
To find the second term in the arithmetic sequence, we need to determine the common difference between consecutive terms.
The common difference can be found by subtracting the first term from the third term:
-27 - (-7) = -27 + 7 = -20.
To find the second term, we take the first term and add the common difference:
-7 + (-20) = -7 - 20 = -27.
Therefore, the second term of the arithmetic sequence is -27.
To find the third term, we take the second term and add the common difference:
-27 + (-20) = -27 - 20 = -47.
Therefore, the third term of the arithmetic sequence is -47.
The correct answer is not among the options provided.
To find the missing terms in an arithmetic sequence, you need to first determine the common difference. The common difference is the amount by which each term in the sequence increases or decreases.
In the given arithmetic sequence, the first term is -7 and the fourth term is -27. To find the common difference, subtract the fourth term from the first term:
-27 - (-7) = -27 + 7 = -20
Now that we have determined the common difference, we can find the missing terms.
To find the second term, we need to add the common difference to the first term:
-7 + (-20) = -7 - 20 = -27, which matches the given sequence.
To find the third term, we need to add the common difference to the second term:
-27 + (-20) = -27 - 20 = -47
So, the second term is -27 and the third term is -47.
Looking at the provided answer choices, none of them match the correct answer. Therefore, the correct answer is not any of the options A, B, C, or D.