Answer: the first term of the series is 128
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1/4 = 0.25
n = 4
S4 = 170
Therefore, the expression for the sum of the 4 terms, S4 is
170 = a(1 - 0.25^4)/(1 - 0.25)
170 = a(1 - 0.00390625)/(1 - 0.25)
170 = a(0.99609375)/(0.75)
170 = 1.328125a
a = 170/1.328125
a = 128
2.5 divided by 2 equals 1.25 so each side equals 1.25
The answer is 4/3 if I am not mistaken
Answer:
Step-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
The maximum height is the corresponding y- coordinate
- y = - 0.5(15²) + 15(15) = 112.5 ft
