6. Write a formula to represent the nth term of the sequence: 3, 6, 12, 24, 48, 96,...​

Given :

The sequence is given as : 3, 6, 12, 24, 48, 96,...​

To Find :

A formula to represent the nth term of the given sequence.

Solution :

Breaking down each term we get :

3 = 3 × 2⁰       1 - term

6 = 3 × 2¹        2 - term

12 = 3 × 2²      3 - term

24 = 3 × 2³     4 - term

48 = 3 × 2⁴      5 - term

From above observation we can say that n th term is given by 3 × 2ⁿ⁻¹ .

Therefore, the nth them of the sequence is given by ( 3 × 2ⁿ⁻¹ ) .

the 3rd on is correct

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12