Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric.

1 answer:

6 0

C, because every time you multiply the preceding number by 1/18, you get the next number in the sequence. It's not D, because an arithmetic sequence would be 216-1/18 (a difference of 1/18) rather than it decreasing by a factor.

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tatyana61 [14]

$n^2+n\\\\check:\\\\a_1=1^2+1=2\\a_2=2^2+2=6\\a_3=3^2+3=12\\a_4=4^2+4=20$

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3 years ago

Circle the largest decimal in each of the following groups.

ExtremeBDS [4]

A. 0.370

B. 0.44

C. 0.1

D. 2.75

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3 years ago

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What is the equation for the line of reflection that maps the trapezoid onto itself? Enter your answer in the box______

nadezda [96]

Y = -1

It is an isosceles trapezoid, which is just as well, otherwise it could not reflect onto itself. The line of reflection is the same as the mirror line which is the same as the axis of symmetry.

It runs horizontally exactly through the middle of the shape.

All horizontal lines have the equation y = a value

In this case the line is <span>y=−<span>1</span></span>

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3 years ago

having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)

pochemuha

Answer: D) 101

Step-by-step explanation:

By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

$\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101$

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?

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2 years ago

What is the area of this triangle?

Lapatulllka [165]

Area is 1/2•b•h so 25

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2 years ago