If the pattern below follows the rule "starting with one, every consecutive line has a number that is one more than twice the previous line", how many marbles must be in sixth line?

Respuesta :

Answer:

[tex]x_{6}=63[/tex]

Step-by-step explanation:

we have that

[tex]x_{1}=1\\x_{2}=1+2x_{1}=1+2*1=1+2=3\\x_{3}=1+2x_{2}=1+2*3=1+6=7\\x_{4}=1+2x_{3}=1+2*7=1+14=15\\x_{5}=1+2x_{4}=1+2*15=1+30=31\\x_{6}=1+2x_{5}=1+2*31=1+62=63[/tex]

Answer:

63

Step-by-step explanation:

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