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Eduardwww [97]
3 years ago
13

Write a recursive rule and explicit rule for the arithmetic sequence 19,9,-1,-11, ...

Mathematics
1 answer:
serg [7]3 years ago
6 0
★ Arithmetic Progression [ Explicit and Recursive notation ] ★

Arithmetic Sequence - 19 , 9 , -1 ...

Recursive Notation -

First term = 19
Common difference = -10

In subscript notation - [ a₁ = 19 , aₙ = aₙ-₁ -10 ]
In functional notation - f(n) = f (n -1) -10

Explicit Notation - f ( n ) = f ( 1 ) + d ( n - 1 )

= 19 - 10 ( n -1 )
= 29 - 10n

It's functional and subscript notations resides the same


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Simplify the expression. Write answer without spaces between terms and signs.
dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0
2 years ago
Read 2 more answers
Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
malfutka [58]

The approximate length of line segment XY is 20.8 units

<h3>How to calculate the distance between two points</h3>

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; brainly.com/question/661229

6 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Gemiola [76]

Answer:  (D) <em>bottom right graph</em>

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k,    where

  • (h, k) is the vertex
  • |a| is the vertical stretch
  • sign of "a" determines the direction of the parabola

Given g(x) = (x - 3)² - 5

  • vertex (h, k) = (3, -5)
  • vertical stretch |a| = 1
  • sign of "a" is positive so parabola points up

The only graph that satisfies all of these conditions is the bottom right.

7 0
3 years ago
Can someone please help me with this? I’m really confused on it.
trasher [3.6K]
For this problem you need to put the x values in for x in the equation. For example, put -10 in for x and calculate y, which is g(x)
8 0
2 years ago
What is the value of x in the following system Y=3x-5 and 6x+3y=15
beks73 [17]

Answer:

hope this helped

7 0
2 years ago
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