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:
Step-by-step explanation:
triangle value- 180 degrees
since the two bottom angles are alike
62+62= 124
180-124=54
Divide the number by the number before it to get the common ration.
ex: 12/3 = 4
The area of a shape is the amount of space it occupies.
The area of the garden is 529.2 square feet
The given parameters are:
<em>Shape: Rectangle</em>
<em>Dimension: 21ft by 25.2ft</em>
The area of a rectangle is:

So, we have:


Hence, the area of the garden is 529.2 square feet
Read more about areas at:
brainly.com/question/16418397
Answer: 2.25 grams
Explanation:
To find the remaining mass of an element, apply the following:
m0 = m/(2^n), where m0 is the remaining mass, m as the original mass and n as the number of half lives that have passed.
we have m, we just have to find n. To find n,
24/6 = 4 half lives have passed.
Applying the first formula,
m0 = (36)/(2^4) = 36/8 = 2.25 grams
Hope this helps, brainliest would be appreciated :)