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Art [367]
3 years ago
10

Finding general term of sequence

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Notice that there's a pattern in the given sequence.

1, 4, 9, 16,............ can be written as 1², 2², 3², 4²,...............

So, the general term of the given sequence is y_{n}=(n)^{2}

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Factor each of the following expression completely..4a^2 b-8a^3 b^5+2ab^7.
Setler79 [48]
<span>Equation at the end of step  1  :</span><span> (((4•(a2))•b)-((8•(a3))•(b5)))+2ab7</span><span>Equation at the end of step  2  :</span><span><span> (((4•(a2))•b)-(23a3•b5))+2ab7 </span><span> Step  3  :</span></span><span>Equation at the end of step  3  :</span><span> ((22a2 • b) - 23a3b5) + 2ab7 </span><span>Step  4  :</span><span>Step  5  :</span>Pulling out like terms :

<span> 5.1 </span>    Pull out like factors :

  <span> -8a3b5 + 4a2b + 2ab7</span>  =  <span> -2ab • (4a2b4 - 2a - b6)</span> 

Trying to factor a multi variable polynomial :

<span> 5.2 </span>   Factoring   <span> 4a2b4 - 2a - b6</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

Final result :<span> -2ab • (4a2b4 - 2a - b6) </span>

<span>
Processing ends successfully </span>

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<span>hope this helps hope i am brainliest i need it </span>

5 0
3 years ago
What scale factor should be applied to a solid to produce a volume that is four times as large as the original volume? 64 1.12 4
Anton [14]
4

If i want the number 5 to be 4 times as large, i will multiply 5 x 4
8 0
3 years ago
Read 2 more answers
Mike built a model of a 42 ft building using a scale of 2 cm = 3 ft. What is the height of the model?
Blababa [14]
Ok so important numbers 42 ft, 2cm, 3 ft and lets take height as x

if 2cm=3ft than x cm= 42 ft
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28 
5 0
4 years ago
Factor the following
jek_recluse [69]

Answer:

(x - 4)×(x + 4)

Step-by-step explanation:

(x - 4)×(x + 4) = x^2 - 16

First we need to multiply inside the parenthesis one by one

Multiply x with (x + 4) and the result will be x^2 + 4x

Then multiply -4 with (x + 4) and result will be -4x - 16 we then add both of the result together by adding like terms

x^2 + 4x - 4x - 16 = x^2 - 16 (-4x eliminated 4x) therefore the answer to factorised form of x^2 - 16 is (x - 4)×(x + 4)

7 0
4 years ago
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Ugo [173]
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3 0
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