Question

How do you find the next four terms in the arithmetic sequence 5+k,5,5-k

Answer 1

the common difference is k... so subtract k from the last term and its

5 - 2k

next term subtract k

5 - 3k...

etc

Answer 2

in arithmethic seequence the next term is obtaind by adding some number to the previous one.
\(a_2=a_1+h\)
so \/a_3\) for example would be \(a_3=a_2+h\)
So you can notice that the difference of two consecutive terms is \(h\). If you whant to find this \(h\), you could take some terms in the seequence and rest from it it's previous term