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lidiya [134]
3 years ago
15

Please help due in 5 minutes I know its a long question but I will give brainliest.

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

B

Step-by-step explanation:

algol [13]3 years ago
6 0
B is the correct answer
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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
4 years ago
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card random
Mice21 [21]
If it were like that, 9/20 would be baseball card. \frac{9}{20} = \frac{x}{60}
x=27 since 20x3=60
5 0
3 years ago
Read 2 more answers
Which operation should you perform last in the expression 12 × 42?
GrogVix [38]

Answer:

The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Hello please help me <br> Idk if the answer is 16 or 19 <br><br> 4 - 16 ÷ 4 + 4²
ivann1987 [24]
The answer is 16 because you have to do the exponents, than the division, then the subtraction, and lastly, the addition.
4 0
3 years ago
Referring to the figure, find the volume of the solid<br> shown. Round to the nearest whole number.
mr_godi [17]

Answer:

846 m³

Step-by-step explanation:

The solid consists of a rectangular prism and a rectangular pyramid.

V = LWH + (1/3)LWh

V = 9 m * 6 m * 12 m + 1/3 * 9 m * 6 m * 11 m

V = 648 m³ + 198 m³

V = 846 m³

3 0
3 years ago
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