One solution because all you need to do us 2x-5y=17+6x-15=51
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
It would cost $168 to buy the edging.
48/2=24. 24+24+48+16=112
112x1.5=168
60 degrees. It's probably an equilateral triangle.
If the ball is "starting" at 30 feet, then to get how high it went the bounce, we simply multiply 0.75 times 30, and to get the next bounce's height, is again (30*0.75)0.75, and so on.
so... the 0.75 or 3/4 is our "multiplier" to get the next term's value, or our "common ratio". So is just a geometric sequence, if the first term is 30, the common ratio is 0.75, what's the 4th term? Because the first bounce happens after the 30 feet, at the 2nd term, thus the 4th term is the 3rd bounce.