Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d
ot plots to choose the true statement. dot plot titled Number of Golfers for Week 1 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89
dot plot titled Number of Golfers for Week 2 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, 1 dot at 85, 3 dots at 86, 4 dots at 88, and 4 dots at 89
The median for Week 2 is more than the median for Week 1.
The mean for Week 2 is less than the mean for Week 1.
The range for Week 1 is more the range for Week 2.
The range for Week 1 is less than the range for Week 2.
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹ where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹ An = -5/32
Hence, the answer to this item is the third choice, -5/32.