Question

769, 573, 404, 260, 139, _______

Answer 1

Answer:

39

Step-by-step explanation:

769, 573, 404, 260, 139, 39

The difference of terms:

-196, -169, -144, -121, -100

The difference of second line:

27, 25, 23, 21

The difference of third line:

-2, -2, -2

Answer 2

Given,

769, 573, 404, 260, 139, _______

To find,

the next consecutive number,

Solution,

To solve this solution we must apply some basic mathematical procedures,

First, we have to assume the number as x.

Let, the number be x

Now we have to find the difference of the terms -

⇒769-573=196

⇒573-404=169

⇒404-260=144

⇒260-139=121

We can observe the numbers are the value of square roots of certain numbers.

⇒196=14², 169=13², 144=12², 121=11².

If we follow the same pattern the next will be 100 = 10²,

Now we have to the value of x,

⇒139-x=10²

⇒-x=100-139

⇒x=39 (  omitting the subtract)

Hence, the next number is 39.