Question

What are the first five terms of the sequence generated by the formula below?

a, 2.nl

1, 2, 6, 24, 120

2, 4, 12, 48, 240

2,6, 24, 120, 720

4. 12, 48, 240, 1440

Answer 1

b. 2, 4, 12, 48, 240

Explanation:

edge 2021

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Answer 2

The correct option is:

2, 4, 12, 48, 240

Explanation:

We have to determine the first 5 terms of the sequence by using following formula:

`a_n=2n!`

To Calculate the first 5 terms.

Put n = 1

a₁ = 2 (1)!

a₁ = 2(1)

a₁ = 2

Put n = 2

a₂ = 2 (2)!

a₂ = 2 (2·1) = 2(2)

a₂ = 4

Put n = 3

a₃ = 2(3)!

a₃ = 2(3·2·1)

a₃ = 2(6)

a₃ = 12

Put n = 4

a₄ = 2(4)!

a₄ = 2(4·3·2·1)

a₄ = 2(24)

a₄ = 48

Put n =5

a₅ = 2(5)!

a₅ = 2(5·4·3·2·1)

a₅ = 2(120)

a₅ = 240