What are the missing values in the following geometric sequence?

Find the value of X in the triangle shown below

QveST [7]

Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

7 0

2 years ago

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:

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6 0

3 years ago

25) Wal-Mart is having a sale on packs of pencils. A pack of 24 pencils is on sale for $0.48. I plan to buy 20 packs of pencils.

Bezzdna [24]

Multiply the 20 packs by the 0.48 per pack
Your answer will be $9.60

4 0

2 years ago

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Select a solution for:<br> x^2=81/144

Brilliant_brown [7]

Answer:

x=3/4, -3/4

Step-by-step explanation:

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6 0

3 years ago

During the sixth grade lunch period, Paul asks every third student who enterd the lunchroom a survey question. Which question is

Neko [114]

Answer:

D

Step-by-step explanation:

You would have to eliminate A because the students have not yet been to other school districts especially if it's every third. You would also have to eliminate B because well, there really isnt any other place to eat but the lunchroom because otherwise it might pose a problem, and with C it can be difficult but again, if we were to try to change something the time they take really has no impact. D would have to be the correct answer because every third student will have various favorite lunch items and will ultimately tell the school that the gross macaroni that is like...unedible is bad and needs to be taken out...immediatley.

4 0

3 years ago

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