Consider this sequence
1(8-7), 2(10-8), 3(12-9), 4(14-10), .
(i) write down the next term and the 10th term of this sequence in the form a(b-c) where a, b and c are integers.
(ii) write down the nth term in the form a(b-c) and then simplify your answer.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2