CameraIcon

SearchIcon

MyQuestionIcon

4

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Universal Set

Prove that th...

Question

Prove that the squares of any terms of the sequence are not terms of the sequence.

Open in App

Solution

Dear student,

Please check your question

Since , A sequence can be thought of as a list of elements with a particular order
Eg: 1,3,5,7,9,11 etc. Sequence of odd numbers

And its squares will be
1,9,25,49,81,121 ,...

which is another pattern

Regards

Suggest Corrections

thumbs-up

0

Similar questions

Q. (a) Write algebraic form of the arithmetic sequence

8, 11, 14, . . . . .

121

a term of this sequence? Why?
(c) Prove that the square of any term of this sequence will not occur in this sequence.

Q. (a) Write the algebraic form of the arithmetic sequence

1, 4, 7, 10, . .

100

a term of this sequence? Why?
(c) Prove that the square of any term of this sequence is also a term of it.

{(a_{n})}_{n \geq 1}

be an arithmetic sequence such that

a_{1}^{2}, a_{2}^{2},

a_{3}^{2}

are also terms of the sequence. Prove that the terms of this sequence are all integers.

Q. All the edges of a square pyramid are length

12

centimetre.
(a) What is the area of one lateral face of it?
(b) What is the surface area of this pyramid?
(c) Prove that the square of any term of this sequence is also a term of it.

Prove that in any square pyramid, the squares of the height, slant height and lateral edge are in arithmetic sequence.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Universal Set

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon