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stich3 [128]
3 years ago
10

What are the first three terms of the sequence...plz help pt.1​

Mathematics
2 answers:
svetlana [45]3 years ago
8 0

a_{n} \:  =  \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2}  \\  = 2(a_{ 1})^{2}   \\  = 2 \times  {4}^{2}  \\  = 32 \\  \\ a_{3} = \: 2(a_{3 - 1})^{2}  \\  = 2(a_{ 2})^{2}   \\  = 2 \times  {32}^{2}  \\  = 2 \times 1024 \\  = 2048

so first 3 terms are

4, 32, 2048

Vitek1552 [10]3 years ago
3 0

Answer:

The correct answer is option 3

4, 32, 2048

Step-by-step explanation:

It is given that,

a₁ = 4

aₙ = 2(aₙ₋₁)²

<u>To find the second term</u>

we have, aₙ = 2(aₙ₋₁)²

a₁ = 4

a₂ = 2(a₁)² = 2(4)² = 2 * 16 = 32

<u>To find the third term</u>

aₙ = 2(aₙ₋₁)²

a₂ = 32

a₃ = 2(a₂)² = 2(32)² = 2 * 1024 = 2048

Therefore the first three terms of the sequence are,

4, 32, 2048

The correct answer is option 3

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