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Marysya12 [62]
3 years ago
13

What is the fifth term of the sequence 4/3, 8/3, 4, 16/3 ?

Mathematics
2 answers:
Komok [63]3 years ago
4 0

Answer:

\frac{20}{3}

Step-by-step explanation:

Note the consecutive terms in the sequence have a common difference, that is

\frac{8}{3} - \frac{4}{3} = 4 - \frac{4}{3} = \frac{16}{3} - 4 = \frac{4}{3}

This indicates the sequence is arithmetic with d = \frac{4}{3}

To find the next term in the sequence add d to the previous term, thus

a_{5} = \frac{16}{3} + \frac{4}{3} = \frac{20}{3}

kupik [55]3 years ago
3 0

Answer:

20/3

Step-by-step explanation:

add four t ok top one and keep the 3 down

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Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


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              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

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           ⇒ x = 4  (as question says) OR x = 5
     

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