Question

What types of functions combine to create an explicit formula for arithmetic sequences?

Answer 1

what does your question mean ?

Answer 2

\[a,a+d,a+2d,a+3d,... ,a+(n-1)d,... \text{ where the } nth \text{ term is given by } \\ a_n=a+(n-1)d\]

Answer 3

by the way the above is an arithemetic sequence because the common difference is d

Answer 4

that is term - previous term will always give you d

Answer 5

functions that allow the calculation of any term in the sequence
??|

Answer 6

you can use the above formula to find a term a_k if you know d and the first term

Answer 7

for example
say your first term is 5 and your common difference is 3
and you want to find a_(55)
\[a_n=5+(n-1)3 \\ \text{ well } a_{55}=5+(55-1)3=5+(54)3=5+162=167\]