CameraIcon

SearchIcon

MyQuestionIcon

1

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

Formula for Sum of n Terms of an AP

If the sum of...

Question

If the sum of n terms of an A.P. be $3 n^{2} - n$ and its common difference is 6, then its first term is

A

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
2

$S_{n} = 3 n^{2} - n$

$\Rightarrow S_{1} = 3 (1)^{2} - 1$

$\Rightarrow S_{1} = 2$

$∴ a_{1} = 2$

Suggest Corrections

thumbs-up

23

Similar questions

Q. If the sum of n terms of an A.P. be 3n² + n and its common difference is 6, then its first term is

(a) 2

(b) 3

(c) 1

(d) 4

Q. If the sum of

n

terms of an AP is

{3 n}^{2} - n

and its common difference is

6

, then its first term is

Q. The sum of first

n

A . P

2 n + 3 n^{2}

. Find the common difference.

Q. If the sum of n terms of an A.P. is S_n = 3n² + 5n. Write its common difference.

Q. If the sum of

n

A . P

S_{n} = 3 n^{2} + 5 n

Write its common difference.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Formula for Sum of N Terms of an AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Formula for Sum of n Terms of an AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon