Question

the nth term of a series is 9n-7. what is the result of subtracting the kth term from the (k+1)th term?

(with solution pls, thnx)

Answer 1

looks like we can just substitute and evaluate

term(n ) = 9n-7

term(k+1) = 9(k+1) - 7 = 9k + 2
term(k) = 9k - 7

so term(k+1) - term(k)
= 9k+2 - (9k-7) = 9