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2 years ago

Which of the expressions below are equivalent to 0.5( 4x + 12)

Mathematics

2 answers:

kogti [31]2 years ago

5 0

The correct answer is B.
0.5(4x + 12)
2x + 6

Tomtit [17]2 years ago

3 0

The correct answer is B.

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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)

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

r3=(fourth term)/(third term)

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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

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$r=2$

Let's assume

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$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

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

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

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