Answered

1. (show the full calculations)
(a). The n^th term of a sequence is n(n+1)
(i) Write the two missing terms in the spaces.
2, 6, ___, 20, ___
(ii) Write down an expression in terms of n for the 〖(n+1)〗^th term.
___________.
(iii) The difference between the n^th term and the 〖(n+1)〗^th term is pn+q.
Find the values of p and q.
(iv) Find the positions of the two consecutive terms which have a difference of 140
__________ and __________.