Find a6 for an arithmetic sequence where a1=3x+1 and d=2x+6
2 answers:
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Answer:
Step-by-step explanation:
Let that number be . We can build an equation, and solve for
.
less than half of
is
.
more than
is
.
We are given that the two quantities are equal, so we have that .
Adding to both sides gives
.
Multiplying both sides by gives
.
Subtracting from both sides gives
.
Multiplying both sides by gives
.
So, the number is and we're done!
The check is left as an exercise to the reader.