CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Fallacy

Do you think ...

Question

Do you think the reverse is also true ., is the sum of any two consecutive positive integers is perfect square of a number ? Given example to support your answer.

Open in App

Solution

No it is not always true
For an example
1) 5+6=11 which is not perfect square
2)21+22=43 which is not perfect square

Suggest Corrections

thumbs-up

1

Similar questions

The sum of any two consecutive natural numbers is a perfect square.

15

consecutive positive integers is a perfect square. The smallest possible value of this sum is______

Q. The sum of squares of two consecutive even positive integers is

244

. Find the numbers.

A natural number is called a perfect square, if it is the square of some other natural number.

Note: Perfect squares are not going to end in 2, 3, 7 or 8 and they won't be of the form in

4 n + 2 o r i n + 3.

Let n be a product of four consecutive positive integers then which answer is not true.

α, β, γ

are three consecutive integers. If these integers are raised to first, second and third positive powers respectively, and added then they form a perfect square, the square root of which is equal to the sum of these integers. Also,

α < β < γ

γ

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

3 Sides and 2 Diagonals

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon