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3 years ago

1, 1/2, 1/4, 1/8, ... What's the pattern rule and the next three numbers? Please someone help me!

Mathematics

2 answers:

mel-nik [20]3 years ago

7 0

Answer:

1/16

Step-by-step explanation:

Tju [1.3M]3 years ago

6 0

Answer:

1/14 ,1/22 ,1/32

Step-by-step explanation:

pattern is according to 2 table

1/2, 1/4, 1/8 the denominators difference is 2 table

2×1=2 difference between 2&4 is 2

2×2=4 difference between 4&8 is 4

2×3=6 8+6=14

2×4=8 14+8=22

2×5=10 22+10=32

hope you've understood

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Prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1

Anit [1.1K]

Answer:

see explanation

Step-by-step explanation:

note that $3^{p+1}$ = $3^{p}$ × 3 ( when multiplying exponents are added )

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$\frac{3^{p+1}-3^{p} }{2.3^{p} }$ ← factor out $3^{p}$ on numerator

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3 years ago

Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vph

prisoha [69]

Answer:

The order is "D, B, A, E, C".

Step-by-step explanation:

The numbers are as follows:

$A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}$

Simplify the value of A, B, C, D and E as follows:

$A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937$

Arrange the following numbers in increasing order as follows:

D > B > A > E > C

Thus, the order is "D, B, A, E, C".

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3 years ago

mrs. Hicks is buying donuts for her favorite class. the cost for the first dozen is $15. since she has more than 12 students she

Vlada [557]

C=15+X

C being the total cost. Starting at $15 plus an additional $1 (seen as X in the equation) for each student.

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3 years ago

1, 1/2, 1/4, 1/8, ... What's the pattern rule and the next three numbers? Please someone help me! ​

1, 1/2, 1/4, 1/8, ... What's the pattern rule and the next three numbers? Please someone help me!