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anygoal [31]
3 years ago
5

What is the answer to this and can you explain

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:30

Step-by-step explanation:

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Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
Please HELP HELP HELP ME
kompoz [17]
The answer is A my friend.

7 0
3 years ago
Read 2 more answers
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th
lakkis [162]

Answer:

the answer is 4

Step-by-step explanation:

1,3,and 4.....1+3+4=8

8÷2= 4

3 0
2 years ago
Write an inequality that represents the graph.
Anika [276]

Answer:

y - 2x - 1 = 0

Step-by-step explanation:

the slope is :

\tan( \alpha )  = 4  \div 2 = 2

at a pt on graph , when

x = 1 \\ y = 3 \\

therefore, coordinates are (1,3)

The equation is :

(y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\  y - 3 = 2x - 2 \\ y - 2x - 1 = 0

5 0
2 years ago
8/9=x+1/3(7) solve with steps
Annette [7]

Answer:

x=-13/9

Step-by-step explanation:

8/9=x+7/3

8/9-7/3=x

8/9-(3)7/9=x

8/9-21/9=x

-13/9=x

I hope this helped. If you have any questions, please feel free to ask them.

4 0
3 years ago
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