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Aliun [14]
3 years ago
6

What is the next three terms in sequence of 8, 20, 50

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
This sequence is doubling the sequence and adding half.  When n is your number, you could find the next number in your sequence by plugging in the number:

2n+0.5n

To find the 4th term, we need to plug in 50.

2*50+0.5*50=125

Now, we need to find the 5th term, so we plug in 125.

2*125+0..5*125=312.5

To find the 6th term, we plug in 312.5.

2*312.5+0.5*312.5=781.25

So, the next 3 terms are 125, 312.5, and 781.25


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Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
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Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

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