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The sequence given is defined using a recursion formula. Write the first four terms of the sequence. a 1 equals 3 and a Subscript n Baseline equals 2 a Subscript n minus 1 Baseline plus 5 for n greater than or equals 2

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JeanaShupp

Answer:  3 , 6 , 12 , 24

Step-by-step explanation:

The given recursive formula :

[tex]a_n=2a_{n-1}[/tex] for n ≥ 2 and n be any natural number.

Also, First term is given as [tex]a_1=3[/tex]

Then, for n= 2 , we have

[tex]a_2=2a_{2-1}=2a_1=2(3)=6[/tex]

For n= 3 , we have

[tex]a_3=2a_{3-1}=2a_2=2(6)=12[/tex]

For n= 4 , we have

[tex]a_4=2a_{4-1}=2a_3=2(12)=24[/tex]

The first four terms of sequence = [tex]a_1 ,\ a_2,\ a_3,\ a_4=3 ,\ 6 ,\ 12 ,\ 24[/tex]

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