3 years ago

Help as fast as you can super confused and running out of time!!

Mathematics

1 answer:

Rashid [163]3 years ago

8 0

I believe the answer is A because the square root of 10 root 3 is approximately 17.32.

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Step-by-step explanation:

------------------

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The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

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$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

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we can see that all four ratios are same

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Calculation of general term:

We got

common ratio is

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Let's assume

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now, we can use formula

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we can plug values

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$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

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