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Find the 11th term of the progression 4,8,16.......​

Sagot :

Answer:

4096

Step-by-step explanation:

you just multiply the previous number by two

Answer:

 [tex]a_{11} =4096[/tex]

Step-by-step explanation:

4, 8, 16,.....

1. Find the common ratio

   second term/first term = 8/4 = 2 = r (the  common ratio)

2. Write the rule, and evaluate for the 11 term.

    [tex]a_{n} = a_{1}r^{n-1}[/tex]

     [tex]a_{11} = 4 (2^{11-1})[/tex]

     [tex]a_{11} = 4 (2^{10})[/tex]

     [tex]a_{11} = 4(1024)[/tex]

      [tex]a_{11} =4096[/tex]