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Kobotan [32]
3 years ago
15

Please help! will give brainliest !!

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

1, 2, 8, 128, 32768

Step-by-step explanation:

recursive \: formula: \\  a _{n} = 2. {( a_{n - 1} )}^{2}  \\  \\ a _{1} = 1...(given) \\  \\ a _{2} = 2. {( a_{2 - 1} )}^{2}   = 2 {(a _{1} )}^{2}  = 2 {(1)}^{2}  \\  \\  a _{2} = 2\\  \\a _{3} = 2. {( a_{3 - 1} )}^{2}   = 2 {(a _{2} )}^{2}  = 2 {(2)}^{2}  \\  \\  a _{3} = 8\\  \\a _{4} = 2. {( a_{4 - 1} )}^{2}   = 2 {(a _{3} )}^{2}  = 2 {(8)}^{2}  \\  \\  a _{4} = 128\\  \\a _{5} = 2. {( a_{5 - 1} )}^{2}   = 2 {(a _{4} )}^{2}  = 2 {(128)}^{2}  \\  \\  a _{5} = 32,768\\  \\

Thus the first five terms are: 1, 2, 8, 128, 32768.

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