Given the arithmetic sequence where an= 3 + 2(n-1), what is the domain for n?
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A graph and a table are provided below this discussion. You should plot these in this order.
y = 1 - 3x In red. It might be hard to see
y < 1 - 3x In blue
The table which is to the left of the graph
The table is constructed by putting a value in for x
x = 2
y = 1 - 3(2)
y = 1 - 6
y = - 5
It's easy once you spot the ones that can cross cancel!
Say we have the fractions 8/10 and 20/23. (it's easier to see on top of each other)
If you look diagonally , so 8 and 23 and 10 and 20, you can see that 10 and 20 have a common factor. So we divide it by the highest common factor to reduce those numbers, making it easier to multiply. 10 and 20 can become 1 and 2, dividing by 10. So now we are left with 8/1 and 2/23, and now we multiply normally going across so 16/23.
This works going both diagonals and simplifying both, but in that case it would be easier to try and simplify the fractions before cross multiplying them.
Basically: look for those diagonals and if they can be divided down by the highest common factor, go for it to make it easier to multiply normally afterwards.
Hope I helped!