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What are the first three terms of the sequence a1 = 3 and an = 2(an-1)^2? I thought the answer was 3,18,32 but that's not an option! help????

Respuesta :

a1=3
a2=2(3^2)=18
a3=2(18^2)=648

Answer:

3,18,648

Step-by-step explanation:

We are asked to find out the first three terms of the sequence.

Recurring formula is given as

[tex]a_{n} =2(a_{n-1} ^2)[/tex]

Since I term = 3

[tex]a_{2} =2(a_{1})^2=2(3^2)=18[/tex]

Applying the same rule,

third term

=[tex]a_{3} =2(a_{2})^2\\=2(18^2)\\=648[/tex]

Like this we can find out any number of terms using this recursive formula

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