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
First, find yourself a map. Then, using two points, find both the distance on the map and the true distance. Next, you divide the true distance by the measured map distance, and find your scale. Last, you need to place that ratio onto your map.