CameraIcon

SearchIcon

MyQuestionIcon

1

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

Common Difference

i Justify whe...

Question

Question 8 (i)
Justify whether it is true to say that the following are the nth terms of an AP.
2n – 3

Open in App

Solution

Yes.
Here, $a_{n}$ = 2n – 3
Put n = 1, $a_{1}$ = 2(1) - 3 = -1
Put n = 2, $a_{2}$ = 2 (2) - 3 = 1
Put n = 3, $a_{3}$ = 2(3) - 3 = 3
Put n = 4, $a_{4}$ = 2(4) - 3 = 5
The numbers are;
- 1, 1, 3 ....
$H e r e, a_{2} - a_{1} = 1 - (- 1) = 1 + 1 = 2$
$a_{3} - a_{2} = 3 - 1 = 2$
$a_{4} - a_{3} = 5 - 3 = 2$
$∵ a_{2} - a_{1} = a_{3} - a_{2} = a_{4} - a_{3} = \dots$
Hence, 2n - 3 is the nth term of an AP.

Suggest Corrections

thumbs-up

16

Similar questions

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

3 n^{2} + 5

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. Justify whether it is true to say that the sequence having following n^th term is an A.P.
(i) a_n = 2n − 1 (ii) a_n = 3n² + 5 (iii) a_n = 1 + n + n²

Q. Question 2
Justify whether it is true to say that

- 1, \frac{- 3}{2}, - 2, \frac{5}{2}, \dots

a_{2} - a_{1} = a_{3} - a_{2}

Q. Can the following expression be

n^{t h}

2 n + 3

If yes then justify your answer.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Common Difference

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon