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defon
3 years ago
11

Consider the arithmetic sequence 13, 24, 35, ....

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:  27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

a_n=a+(n-1)d

It is given that the nth term is 299, so put a_n=299, a=13 ; d=11

299=13+(n-1)11

Subtract 13 from both sides , we get

286=(n-1)11

Divide both sides by 11, we get

26=n-1

Add 1 on both sides , we get

n=27

Hence, the value of n= 27

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3 years ago
Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time
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Answer:

Part A: a coefficient is either 20 or 35, both work. A variable is c or w, again either work.  The constant is 23.50.

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Step-by-step explanation:

A coefficient goes in front of the variable (which is the letter, usually shown as x). The constant is a number with no variable attached.

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3 years ago
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3 0
2 years ago
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Which algebraic property could be used to rewrite 3x ⋅ (7y ⋅ 4) as (3x ⋅ 7y) ⋅ 4?
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<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x
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Hello from MrBillDoesMath!

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x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 =   (x/3)*x - 2   =  (x^2)/3 - 2     (*)

1 \3x - 4   =  (1/3)x - 4                               (**)

(*) = (**)   =>

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x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

4 0
3 years ago
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