Question

solution of series-4;?;144;400;900;1764​

Answer 1

Answer:

36

Explanation:

There is series of square of numbers with the sum of 2 in each.

For example: √144=12, √400=20, √900=30,√1764=42

We can see that 12- 20-30-42

all are series of sum of 2.

20-12=8

30-20=10

42-30=12

so before √144 will be √36=6

Then there will be 12-6=6

20-12=8

30-20=10

42-30=12

HOPE THIS HELPS YOU❤️❤️❤️❤️

Answer 2

Answer:

36

Explanation:

Consider 144

It's the square of 12.

Now,next number is 400, the square of 20

20 - 12 = 8

Next is 900 the square of 30

30 - 20 = 10

Next is 1764, the square of 42

42 - 30 = 12

We see a pattern here, applying the pattern we see that the nth term can be written as

$\sf T_n = (\sqrt{(n^{th} - 1)term} + 2n)^2$

So, the second term (missing term) would be

$\sf T_2 = (\sqrt{2^{nd} - 1}^{th}\ term + 2\times 2)^2$

= (√4 + 4)²

= (2 + 4)²

= 6²

= 36

Henc 36 is the answer.