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3 votes
Find the 5th term of the arithmetic sequence 4x+4, -x+10, -6x+16...

asked
User PEPEGA
by
8.7k points

1 Answer

3 votes

Answer:

-16x+28

Explanation:

Using the 2nd and 1st term in the sequence, we can find the change.

4x+4, -x+10. Using mental math, we can see that x decreases by 5 and 4 increases by 6. Using this, the change is -5x + 6.

The easiest way to solve this is mental math because the 5th term is very close to the last term (the 3rd).

Solving:

-6x+16 = 3rd term, so -6x+16-5x+6 = -11x+22 | -11x+22-5x+6 = -16x+28.

answered
User MLeblanc
by
8.4k points

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