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Masja [62]
2 years ago
7

The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di

fference between the greatest and the least of these three numbers in the arithmetic sequence?
The answer is 10 but I don’t know how to get it
Mathematics
1 answer:
Ber [7]2 years ago
7 0

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

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Brett is hosting a party for 16 guests,including himself.Brett orders 2 meatball,1 turkey,1 veggie party-size sandwiches. Each s
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Answer:

Step-by-step explanation:

Given:

Brett orders 2 meatball,1 turkey,1 veggie party-size sandwiches.

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What is the cost of each sandwich including tax?

Solution:

Let cost of each sandwich including tax = x

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<u><em>As each sandwich costs the same amount and total amount of cost of 4  sandwiches, including tax, is $54.36, the equation will be:-</em></u>

x+x+x+x=\$54.36\\4x=\$54.36

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Answer:

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