A sequence is defined recursively using the equation f(n + 1)=f(n) - 8. If f(1) = 100, what is f(6)?

Answers

Answer 1

Answer: If you would like to know what is f(6), you can calculate this using the following steps:

f(n + 1) = f(n) - 8
f(1) = 100
f(2) = f(1) - 8 = 100 - 8 = 92
f(3) = f(2) - 8 = 92 - 8 = 84
f(4) = f(3) - 8 = 84 - 8 = 76
f(5) = f(4) - 8 = 76 - 8 = 68
f(6) = f(5) - 8 = 68 - 8 = 60

The correct result would be 60.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Find b for the following right angled triange where a=5 and c=13

Answers

You would use the Pythagorean there on which is a^2+b^2=c^2, from there you plug int what they gave you and solve for b, and b=12

Graphing recorded data from a chart or table would be helpful for interpreting trends or patterns. Please select the best answer from the choices provideda. True
b. False

Answers

The best answer to the question that is being presented above would be true. It is deemed true that graphing recorded data from a chart or table would be helpful for interpreting trends or patterns. This is because the graph shows the distribution of data and has an overall picture on how the data moves.

True;
The data points the changes occurring at different points on the graph.

Which expression gives the same result as ∑4i=0(5)(1/3)i

Answers

I'm assuming which expression gives the same result as ∑^4
The choices are:
i=0^(5)
(1/3)^i

The second option is correct since the first option is erroneous or makes little sense. The second option and the ∑^4 are geometric progressions which will account for each other when substituted together or one into another.

Answer: The real answer

Step-by-step explanation:

Determine whether the sequence is arithmetic or geometric.sequence 1: 32, 16, 0, –16, ...
sequence 2: 32, 16, 8, 4, ...
which of the following statements are true regarding sequence 1 and sequence 2.

sequence 1 is arithmetic and sequence 2 is geometric.
both sequences are arithmetic.
both sequences are geometric.
sequence 2 is arithmetic and sequence 1 is geometric.

Answers

S1.
32, 16, 0, -16, ...
It's an arithmetic sequence:
$a_1=32;\ d=16-32=-16\n\na_n=a_1+(n-1)d\n\na_n=32+(n-1)\cdot(-16)=32-16n+16=48-16n$

S2.
32, 16, 8, 4, ...
It's a geometric sequence:
$a_1=32;\ r=16:32=(1)/(2)\n\na_n=a_1r^(n-1)\n\na_n=32\cdot\left((1)/(2)\right)^(n-1)$

Answer: sequence 1 is arithmetic and sequence 2 is geometric.

Last month,Shelly earned $15.38 for mowing lawns,$6.25 for cleaning her room, and $12.04 for other chores. How much did she earn last month?

Answers

she had earned $33.67 in the last month.
$15.38+$6.25+$12.04= 33.67 roughly

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?The line represents a direct variation because = .
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because –4(3) ≠ 4(3).

Answers

The line does not represent direct variation because it does not go through the origin. In fact, it happens to be a horizontal line whose equation is : y = 3.

A line y= k x, represents a direct variation if , $k=(y)/(x)$

As,line passes through (-4,3) and (4,3).

Equation of line passing through two points is,

$(y-3)/(x+4)=(3-3)/(4+4)\n\n y-3=0$

Given by the formula: $(y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))$

As, the line does not pass through origin , so the line passing through (-4,3) and (4,3) does not represent direct variation.

Option (C)=The line does not represent a direct variation because it does not go through the origin.

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