Question

Find the given term of each arithmetic sequence.
1/4,3/4,5/4,7/4,...;15th term

Answer 1

since it says its arithmetic; that makes life easier.

A{n} = A{n-1} + d
= A{n-2} + d + d
= A{n-3} + d + d + d
= A{n-3} + 3d
= A{n-r} + rd

when r = n-1, we can get to A1

A{n} = A{n-(n-1)} + (n-1)d
= A1 + (n-1)d

this is the general form of an arithmetic sequance

Answer 2

in this case A1 = 1/4

and the "d"ifference between each term is 2/4

An = 1/4 + 2/4 (n-1)

Answer 3

so i am still confused