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ki77a [65]
3 years ago
11

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four term

s in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125
Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31

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Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
MrMuchimi

Answer:

-13x-23

Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

  • a_1=x-9
  • a_2=-x-11
  • a_3=-3x-13

General form of an arithmetic sequence: a_n=a+(n-1)d

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

Therefore,

a_n & =(x-9)+(n-1)(-2x-2)

To find the 6th term, input n = 6 into the equation:

\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}

3 0
2 years ago
How do I use substitution to solve a system of linear equations?
Pachacha [2.7K]

Answer:

the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:

example :

x+y=10

y=10-x ( value of y)

2x+y=12 ( substitute the value of y in the equation )

2x+(10-x)=12

2x+10-x=12 ( now solve for x)

x=12-10

x=2 ( substitute the value of x in the equation x+y=10)

x+y=10

2+y=10

y=10-2

y=8

( i hope it helps)

8 0
3 years ago
Use yes or no Can you please help me
Gemiola [76]
The answer Yes, yes, no
7 0
2 years ago
Write the phrase as an expression: 5 less than 8
Helga [31]
Ok, listen up
This sign ->  "<" means less than
Therefore, the expression is 5 < 8
8 0
2 years ago
a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability o
Jlenok [28]

Answer:

4/15

Step-by-step explanation:

6/10 times 4/9=4/15

7 0
2 years ago
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