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12.04.2021 •
Mathematics
Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an
arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5
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Ответ:
B
Step-by-step explanation:
We are given that:
Are consecutive terms of an arithmetic sequence.
And we want to determine the common difference d.
Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.
In other words, the second term is one d more than the first term. So:
And the third term is two d more than the first term. So:
We can isolate the d in the first equation:
As well as the second:
Then by substitution:
Solve for x:
The isolated first equation tells us that:
Therefore:
Our final answer is B.
Ответ:
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