3 years ago

HOW CAN ARITHMETIC AND GEOMETRIC SEQUENCES BECOME LINEAR AND EXPONENTIAL FUNCTIONS?

1 answer:

3 0

The formula of an arithmetic sequence is the following :
$u_n=r\times n+u_0\text{ wherein r is the rate of the sequence}
\\\text{and u0 the first value}\\\text{The above formula is linear wherever }u_0=0.$
A geometric sequence is in the form:
$u_n=u_0r^n\text{, again u0 the first value and r the rate. }\\\text{If }u_0=1\text{ the formula becomes:}\\u_n=r^n=e^{n\log r}\text{ which is an exponential formula.}$

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Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coe

ozzi

The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.

The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is

⟨x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0

x - (y - 4) + (z - 4) = 0

x - y + z = 0

5 0

3 years ago

HELP PLEASE FAST NOW

tresset_1 [31]