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Standard XI

Mathematics

Existential Quantifier

If Sn=n P+n/2...

Question

If $S_{n} = n P + \frac{n}{2} (n - 1)$ Q, where $S_{n}$ denotes the sum of first n terms of an AP, the common difference is

P + Q

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2P + 3Q

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Solution

The correct option is D Q
By definition d = Q

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Similar questions

Q. If

S_{n} = n P + \frac{n (n - 1) Q}{2}

, where

S n

denotes the sum of the first

n

terms of an

A P

, then the common difference is

Q. If

S_{n} = n P + \frac{n}{2} (n - 1) Q,

where

S_{n}

denotes the sum of the first

n

terms of an A.P., then the common difference is

Q. If

S_{n} = n P + \frac{n (n - 1) 2}{Q}

, where

S_{n}

denotes the sum of the first

n

terms of an

A . P

., then find the common difference.

Q. If

S_{n}

denotes the sum of

n

terms of an

A P

whose common difference is

d

and first term is

a

.
Find

S_{n} - 2 S_{n} + S_{n + 2}

If $a$ and $d$ are the first term and the common difference of an AP, $S_{n}$ denotes the sum of $n$ terms of an AP. If $S_{n} = P n + Q n^{2}$ , what are $a$ and $d$ in terms of $P$ and $Q$ ?

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If Sn=nP+n2(n−1)Q, where Sn denotes the sum of first n terms of an AP, the common difference is

The correct option is D QBy definition d = Q

If $S_{n} = n P + \frac{n}{2} (n - 1)$ Q, where $S_{n}$ denotes the sum of first n terms of an AP, the common difference is

The correct option is D Q
By definition d = Q