Help

[fresh inlet]

I dont understand this at all

[hot ginkgo]

set them equal to each other and solve

[marble shoal]

no

you need to show that until the first sequence hits 40 or more and the 2nd sequence hits below 1, they share only one term

it would be 31, which is n=4 in the first sequence and n = 3 in the 2nd

easiest way would just be to list all the terms

the question is worded very badly

[obtuse dome]

as 40-n^2 is a decreasing sequence it won’t go above 40. as 2n^2 -1 will always be positive, they will share a term between 0-40. so show that value

[pseudo geyser]

What?

Why wouldn't you just set them equal to each other, find the 2 solutions of the quadratic and state that one of the solutions of the quadratic is ≤0 but in nth terms n>0

Or you might get a fraction as a solution for n

[marble shoal]

n is an integer in a sequence

so you cannot do that

[marble shoal]

you cant do this

since the sequences can share terms that are not in the same position

hence you’d need to list the terms

[pseudo geyser]

Wait ye i probably shouldn't be trying to correct anybody at 1am...