A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the resu
lt to equation B. B) Multiply equation B by 3 and add the result to equation A. C) Multply equation A by 2 and equation B by -6 and add the results together. D) Multiply equation B by 5 and equation A by 4 and add the results together.
1 answer:
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EXPLANATION
If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by
Check wheter the difference is constant:
Compute the differences of all the adjacent terms:
Replacing terms:
4-7 = -3
The difference between all of the adjacent terms is the same and equal to
d = -3
The first element of the sequence is
Therefore, the nth term is computed by
d= -3
Refine
d= -3 ,
Now, replacing n=7
So, the answer is -11.