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fiasKO [112]
3 years ago
15

A(n)= 4 + (n - 1)(-5) what’s the recursive formula

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

A(1)=4

A(n)= A(n-1)-5

Step-by-step explanation:

Plug in 1 to see that a(1)=4. Then, find a few more using the given formula and see what the change is from one to the next. It ends up subtracting 5 for every value.

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rosijanka [135]
She made a mistake in steps 3-4
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3 years ago
5 Exam-style ABCD is a kite.
Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}

5 0
2 years ago
ANSWER ASAP I WILL GIVE BRAINIEST
Vikentia [17]
It is A because the ratio is 2:3
3 0
3 years ago
Read 2 more answers
(x+6)(−x+1)=0 greatest x and least x = 0
Bumek [7]

Answer:

x=-6

×=1

Step-by-step explanation:

remove parentheses

connect like terms

change the signs

calculate the discriminant

simplify

6 0
2 years ago
A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
harkovskaia [24]
You can get 3 refills.
First you subtract $4.50-$1.65 which equals $2.85. Then you find out how many times 95¢ can go into that. It goes in 3 times so you can get 3 refills.
8 0
3 years ago
Read 2 more answers
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