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

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:

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

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.