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Brums [2.3K]
3 years ago
7

A recursion formula and the initial term of a sequence are given. Write out the first five terms of the sequence. a Subscript fo

nt size decreased by 1 1equals6​, a Subscript n plus font size decreased by 1 1equalsminusa Subscript n
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

6, -6, 6, -6 and 6.

Step-by-step explanation:

Given the recursion formula for a sequence

a_{n+1}=-a_n\\$where a_1=6\\

The first five terms of the sequence are:

\text{First Term, }a_1=6\\$Second Term, a_2=a_{1+1}=-a_1=-6\\$Third term, a_3=a_{2+1}=-a_2=6\\$Fourth term, a_4=a_{3+1}=-a_3=-6\\$Fifth term, a_5=a_{4+1}=-a_4=6

Therefore, the first five terms of the sequence:

a_1,a_2,a_3,a_4,a_5=6, -6, 6, -6$ and 6.

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Step-by-step explanation:

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2 years ago
Read 2 more answers
Does the table represent a linear function? Explain why or why not
OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

<u>Linear Function </u>

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x      y

0     0

1      1

2     8

3     27

Slope= y/x

Slope = 0/0=0

slope = 1/1 = 1

slope = 8/2 = 2

slope = 27/3 = 9

The function represented is: y=x^3

Since the slope of points x and y in the table is not same, and its graph is not linear.

So, the table doesn't represent linear function

Keywords: Linear Function

Learn more about Linear function at:

  • brainly.com/question/13168205
  • brainly.com/question/12363217
  • brainly.com/question/4326955
  • brainly.com/question/1284310

#learnwithBrainly

4 0
3 years ago
Need help in algebra fast <br> Anything helps
alex41 [277]

Answer:

c

Step-by-step explanation:

For this question you can say d = 15 feet so we need the t then you can say :  

15 = l 130 - 25t l ⇒ because of the absolute value you should say :  

1) 130 - 25t = 15  ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec  

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec  

so the answer is c :))

i hope this is helpful

7 0
2 years ago
Sarah used 3/4 pounds of blueberries to make one and a half cup of jam how many pounds of blueberries would you need to make a c
ella [17]
The Answer would be C, because if you divide 3/4 by 2/3 you have to switch numerators and denominator for 2/4, once you multiply that you get 9/8 you change that to a mixed number. Then you get C
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2 years ago
A quantitative observation? a. contains a number and a unit b. does not contain a number c. always makes a comparison
Naily [24]

Answer: A. contains a number and a unit

Step-by-step explanation:

Quantitative observations measure the quantity, or the amount, of a certain thing. Therefore they must always use a number value to measure the amounts, and a unit to signify what the amount is for.

3 0
1 year ago
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