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Ghella [55]
3 years ago
11

What is the gcf of 16 24 and 36

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

4

Step-by-step explanation:

Calculate Greatest Common Factor for :

   16, 24 and 36

Factorize of the above numbers :

   16 = 2^{4}  

   24 = 2^{3} • 3  

   36 = 2^{2} • 3^{2}  

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime  Factor     Number  16   Number  24   Number  36    G.C.F   (min)  

2 4 3 2 2

3 0 1 2 0

GCF = 2²

Greatest Common Factor is :

     4

Hope this helps :)

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Write an equation for the nth term of<br> the arithmetic sequence: <br> 15,28,41 ....
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Answer:

The equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: a_n=a_1+(n-1)d

Where a_n is the nth term, a_1 is first term and d is common difference

In the given sequence we have:

a₁ = 15

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We can find common difference using the formula:

a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13

So, the common difference d is 13

Now, equation for nth term will be:

a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2

So, the equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

where n=1,2,3..

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2 years ago
The base of a cone can be
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Step-by-step explanation:

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Answer:

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Hope this helps!!

Let me know if I'm wrong...

8 0
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