Answer:
The correct option is:
2, 4, 12, 48, 240
Step-by-step explanation:
We have to determine the first 5 terms of the sequence by using following formula:
[tex]a_n=2n![/tex]
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
