You can see that each term is twice the previous one, with inverted sign.
You double a number by multiplying it by two, and you change its sign by multiplying it by -1.
So, you multiply each term by 2 and by -1, which results in a multiplication by -2.
Since we start with 3, the terms are
and so on. So, the general term is
Answer:
By summing cylindrical slabs of infinitesimal height and different radii place one on the other such that margin of between real and intended volume is minimum.
Step-by-step explanation:
A spherical slab is characterized by the radius as its inherent variable and cylindrical slabs by its radius and height. The volume of the spherical slab can be approximated by summing cylindrical slabs of infinitesimal height and different radii place one on the other such that margin of between real and intended volume is minimum. (Please see image attached below for further details).
The equation is y = 20(1.40)^x
where x is the number of days and y is the future amount after x days go by
The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40
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Plug in x = 7 to get
y = 20(1.40)^x
y = 20(1.40)^7
y = 210.827008
y = 211
We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about <u>211</u> algae.
(216x^27) ^ 1/3
using the power to the power rule we multiply the exponents
216 ^ 1/3 x^ (27*1/3)
6 * x^9