8) General rule: An = 6 + (n - 1) (-5) <-------- answer: option C.
Part 2.] Which of the following is the general term for the sequence m, -m, m, -m, . . .?
Answer: option a. m (-1)^ (n-1).
Justification:
the sign of the coefficient changes for each term.
when n = 1, the sign is positive: (-1)^ (1-1) = 1 when n = 2, the sign is negative: (-1)^ (2-1) = - 1 when n = 3, the sign is positive: (-1)^ (3-1) = 2
And so on. So, m (-1)^ (n-1) does the work.
Part 3.] Indicate a general rule for the nth term of the sequence when A1 = 5 and r = √3
Answer: option C. An = (5)(√3)^(n-1)
Explanation:
This is a geometric sequence with A1 = 5 and r = √3
Just one which is the 4 but you have to put the zeros in because if you won 4,103,002 on the lottery you would say oh i won 4 million you wouldn’t say i won 4