Nth term of gp = a(1 - r^n)/(1 - r), where n∞ = 10, n = ∞, a = 2, r < 1
10 = 2(1 - r^∞)/(1 - r)
10 = 2/(1 - r)
1 - r = 2/10 = 1/5
r = 1 - 1/5 = 4/5
An infinite deometric series with a beginning value of 2 that converges to 10 has common ratio of 4/5.
The first four terms are: 2, 1.6, 1.28, 1.024
Answer:
6×10⁶ cubic feet
30:1
Step-by-step explanation:
Water goes over Niagara Falls at a rate of 180 million cubic feet every
hours.
Now, 180 million cubic feet ≡ 18×10⁷ cubic feet
and
hours =30 minutes.
As the water is falling at a constant rate, hence, the unitary method of calculation can be applied.
Therefore, in 1 minute, the amount of water that goes over the falls will be
18×10⁷/30 =6×10⁶ cubic feet.
So, the amount of water passing over the falls is reduced in the ratio 30:1. (Answer)
Answer:
I do not know, but I do know the formula.
The formula is: 12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
Answer:
<u>-1133</u>
Step-by-step explanation:
<u>Formula for nth term</u>
<u>Finding d</u>
- d = -45 - (-28)
- d = -45 + 28
- d = -17
<u>Solving for a₆₆</u>
- a₆₆ = -28 + 65(-17)
- a₆₆ = -28 - 1105
- a₆₆ = <u>-1133</u>

in case you wonder why we used 105 as LCD,
21 = 3 * 7
15 = 3 * 5
the "3" is common to both denominators, so we "use it once" and our LCD is then 3 * 7 * 5.