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dezoksy [38]
2 years ago
14

What are the nex three numbers in the following sequence? 4, 13/3, 14/3, 5, 16/3.

Mathematics
2 answers:
Liono4ka [1.6K]2 years ago
6 0
17/3 6 19/3 the whole numbers are mutiplied by three 4*3=12  3*5=15 hope this helped
kati45 [8]2 years ago
4 0
Ask yourself:  by what number (a fraction) must we multiply 4 to obtain 13/3?  Try (13)/(4*3).

Check:  Does     13
                         ------- * 4 equal 13/3?  Yes.
                          4(3)

Check again.  Does    13            13
                                  --------- * -------  =  14/3 ?  No
                                    4(3)          3

Try something different.  Convert 4 to 3(4)
                                                             -----
                                                               3

Then we have 12/3, 13/3, 14/3, 15/3, 16/3 (different numerators, same 
                                                                                       denominator)

Continuing, 17/3, 18/3, 19/3, and so on.
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_________________________

Explanation:  Use "FOIL" technique: (First, Outer, Inner, and Last Terms); 
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__________________________________________

(5x+4)(9x+9) = 45x² + 45x + 36x + 35 = 45x² + 81x + 36 .
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