Question

Find the pattern of 2,3,4,9,8,27,16

Answer 1

✔️✔️Answer:

Pattern is n ☓ 2 for odd places abd n ☓ 3 for even places.

✔️✔️Step-by-step explanation:

▶️Let's divide this series into 2 parts b

✔️1st : 2,4, 8, 16....

✔️2nd : 3,9,27,.....

Now,

Look at 1st :

2 ☓ 2 = 4

4 ☓ 2 = 8

8 ☓ 2 = 16

✨The pattern is n ☓ 2.

Where n is previous term.

In this way next term = 16 ☓ 2 = 32

➡️ Look at second :

3 ☓ 3 = 9

9 ☓ 3 = 27

✨So next term is n ☓ 3.

There fore,

27 ☓ 3 = 81

Next term is 81.

➡️ Combine 1st and 2nd :

2,3,4,9,8,27,16,81,32

Answer 2

Answer:

Pair of alternate numbers, one multiplied with 2 and the other with 3, to get the series.

Step-by-step explanation:

Given the number series: 2,3,4,9,8,27,16

If we see the alternate numbers, $2, 4,8,16$

Each number is multiplied by 2 to get the next number.

            $2\times2=4, 4\times2=4,8\times2=16$

Similarly, the other pair of alternate numbers, $3,9,27$

Each number is multiplied by 3 to get the next number.

            $3\times 3=9,9\times 3=27$