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

Byju's Answer

Standard XII

Mathematics

Definition of Functions

The sum of ...

Question

The sum of $n$ terms of an A.P. is dependent on which of the following parameters?

Only

a

and

d

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

Only

n

and

d

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

a, n

and

d

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

Only

a

and

n

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

Open in App

Solution

The correct option is C $a, n$ and $d$ .
The sum of n terms of an arithmetic progression is dependent on the first term ' $a$ ', the common difference, d and the number of terms n as the formula is given as $S_{n}$ $= \frac{n}{2} (2 a + (n - 1) d)$
Thus the correct answer is ' $c$ '.

Suggest Corrections

Similar questions

Q. Let there be an A.P with first term

a

, common difference

d

. If

a_{n}

denotes its

n

th term and

S_{n}

the sum of first

n

terms, find

n

and

S_{n}

, if

a = 5, d = 3

and

a_{n} = 50

Q. Prove that the sum of

n

number of terms of two different A.P.'s can be same for only one value of

n

if they have same value of

d, a

Q. Let there be an A.P. with first term 'a', common difference 'd'. If a_n denotes in n^th term and S_n the sum of first n terms, find.

(i) n and S_n, if a = 5, d = 3 and a_n = 50.

(ii) n and a, if a_n = 4, d = 2 and S_n= −14.

(iii) d, if a = 3, n = 8 and S_n = 192.

(iv) a, if a_n = 28, S_n = 144 and n= 9.

(v) n and d, if a = 8, a_n = 62 and S_n = 210

(vi) n and a_n, if a= 2, d = 8 and S_n = 90.

Q. Let there be an A.P with first term

a

, common difference

d

. If

a_{n}

denotes its

n

th term and

S_{n}

the sum of first

n

terms, find

a

, if

a_{n} = 28

S_{n} = 144

and

n = 9

Q. The sum up to n terms of an AP with first term

a

, last term

l

and common difference

d

Join BYJU'S Learning Program

The sum of n terms of an A.P. is dependent on which of the following parameters?

The correct option is C a,n and d.The sum of n terms of an arithmetic progression is dependent on the first term 'a', the common difference, d and the number of terms n as the formula is given as Sn =n2(2a+(n−1)d)Thus the correct answer is 'c'.

The sum of $n$ terms of an A.P. is dependent on which of the following parameters?

The correct option is C $a, n$ and $d$ .
The sum of n terms of an arithmetic progression is dependent on the first term ' $a$ ', the common difference, d and the number of terms n as the formula is given as $S_{n}$ $= \frac{n}{2} (2 a + (n - 1) d)$
Thus the correct answer is ' $c$ '.