MyQuestionIcon

1

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

General Form of an AP

The n th t...

Question

The $n^{t h}$ term of an $A P$ cannot be $n^{2} + 1 .$ Justify the statement.

Open in App

Solution

Taking n = 1 is $n^{2} + 1,$ we get
$a_{1} = 1 + 1 = 2$
$a_{2} = 4 + 1 = 5$ for n = 2
$a_{3} = 9 + 1 = 10$ for n = 3
we observe that common difference is not the same
Hence, $n^{t h}$ term of an A,P. can't be $n^{2} + 1$

Suggest Corrections

thumbs-up

4

Similar questions

Q. Statement 1: The

n^{t h}

term of an AP can not be

n^{2} + 1

.
Statement 2: 0 is a term of the AP 31, 28, 25….

Q. Question 8 (iii)
Justify whether it is true to say that the following are the nth terms of an AP.
1+n+

n^{2}

Q. Can the following expression be

n^{t h}

2 n + 3

If yes then justify your answer.

Q. Can the following expression be

n^{t h}

term of an AP?
If true then enter

1

and if false then enter

0

1 + n + n^{2}

Q. Question 8 (iii)
Justify whether it is true to say that the following are the nth terms of an AP.
1+n+

n^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

General Form of an AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

General Form of an AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon