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If pᵗʰ term of an AP is q and qᵗʰ term is p then
Given: pᵗʰ term = q. (1) qᵗʰ term = p. (2) Let a₁ be first term and d be common difference. Using (1): a₁ + (p-1)d = q. (3) Using (2): a₁ + (q-1)d = p. (4) Subtracting (4) from (3): (p-q)d = q-p d = -1 Substituting d = -1 in (3): a₁ + (p-1)(-1) = q a₁ - p + 1 = q a₁ = p + q - 1 Now, (p+q)ᵗʰ term = aRead more
Given:
pᵗʰ term = q. (1)
qᵗʰ term = p. (2)
Let a₁ be first term and d be common difference.
Using (1):
a₁ + (p-1)d = q. (3)
Using (2):
a₁ + (q-1)d = p. (4)
Subtracting (4) from (3):
(p-q)d = q-p
d = -1
Substituting d = -1 in (3):
a₁ + (p-1)(-1) = q
a₁ – p + 1 = q
a₁ = p + q – 1
Now, (p+q)ᵗʰ term = a₁ + (p+q-1)(-1)
= (p+q-1) + (p+q-1)(-1)
= p+q-1 – p-q+1
= 0
Therefore, (p+q)ᵗʰ term is 0 is the correct answer.
See lessWhat type of personal liberty is granted to the person, who is arrested by the police in India?
Correct Answer: (c) Needs to be informed about the reason of his arrest Explanation: The Indian Constitution provides personal liberty under Article 22, which grants certain rights to a person who is arrested: Right to be informed – The arrested person must be informed immediately about the reason fRead more
Correct Answer: (c) Needs to be informed about the reason of his arrest
Explanation: The Indian Constitution provides personal liberty under Article 22, which grants certain rights to a person who is arrested: Right to be informed – The arrested person must be informed immediately about the reason for their arrest. Right to legal representation – They have the right to consult and be defended by a legal practitioner of their choice. Right to be presented before a magistrate – Within 24 hours of arrest, the person must be brought before a magistrate. No unlawful detention – The police cannot detain the arrested person for more than 24 hours without judicial permission. While “no handcuffing” and “freedom of movement” are not absolute rights, the right to be informed about the arrest is a fundamental right under the Right to Personal Liberty (Article 21 & 22).
This question related to Chapter 5 Social Science Class 9th NCERT. From the Chapter 5 Democratic Rights. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/
The sum of first n terms of an AP is given by
This is the right formula for sum of n terms of an AP. Let's check why: 1) For an AP with first term a₁ and common difference d: Last term (aₙ) = a₁ + (n-1)d 2) In an AP, sum of first and last term = sum of second and second last term =. Hence, Sₙ = n/2(first term + last term) 3) Putting last term:Read more
This is the right formula for sum of n terms of an AP.
Let’s check why:
1) For an AP with first term a₁ and common difference d:
Last term (aₙ) = a₁ + (n-1)d
2) In an AP, sum of first and last term = sum of second and second last term =.
Hence, Sₙ = n/2(first term + last term)
3) Putting last term:
Sₙ = n/2[a₁ + {a₁ + (n-1)d}]
= n/2[2a₁ + (n-1)d]
4) This formula yields:
– When n = 1: S₁ = a₁
– When n = 2: S₂ = 2a₁ + d
– When n = 3: S₃ = 3a₁ + 3d
And so on.
Thus, Sₙ = n/2[2a₁ + (n-1)d] is the right formula.
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See lesshttps://www.tiwariacademy.in/ncert-solutions/class-10/maths/
What is limitation to Freedom of speech and expression?
Correct Answer: (a) No instigation of violence Explanation: Freedom of speech and expression is guaranteed under Article 19(1)(a) of the Indian Constitution, but it is subject to reasonable restrictions under Article 19(2). The limitations include: Security of the state – Speech that threatens natioRead more
Correct Answer: (a) No instigation of violence
Explanation: Freedom of speech and expression is guaranteed under Article 19(1)(a) of the Indian Constitution, but it is subject to reasonable restrictions under Article 19(2). The limitations include:
Security of the state – Speech that threatens national security can be restricted. Public order – Any speech that disturbs peace or incites violence is not allowed. Decency and morality – Content that is obscene or indecent can be regulated. Defamation – False statements harming a person’s reputation are restricted. Sedition – Speech that incites hatred against the government can be punished. Incitement to an offense – Speech that encourages crime or violence is prohibited. Since instigation of violence is a major ground for restricting free speech, option (a) is correct. This question related to Chapter 5 Social Science Class 9th NCERT. From the Chapter 5 Democratic Rights. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/
The first three terms of an A.P. respectively are 3y – 1, 3y + 5 and 5y + 1. Then, y equals
Given first three terms a₁, a₂, a₃ of A.P. are: a₁ = 3y - 1 a₂ = 3y + 5 a₃ = 5y + 1 In an A.P., a₂ - a₁ = a₃ - a₂ So: (3y + 5) - (3y - 1) = (5y + 1) - (3y + 5) Simplifying LHS: 3y + 5 - 3y + 1 = 6 Simplifying RHS: 5y + 1 - 3y - 5 = 2y - 4 As LHS = RHS: 6 = 2y - 4 Adding 4 to both sides: 10 = 2y ThusRead more
Given first three terms a₁, a₂, a₃ of A.P. are:
a₁ = 3y – 1
a₂ = 3y + 5
a₃ = 5y + 1
In an A.P., a₂ – a₁ = a₃ – a₂
So:
(3y + 5) – (3y – 1) = (5y + 1) – (3y + 5)
Simplifying LHS:
3y + 5 – 3y + 1 = 6
Simplifying RHS:
5y + 1 – 3y – 5 = 2y – 4
As LHS = RHS:
6 = 2y – 4
Adding 4 to both sides:
10 = 2y
Thus:
See lessy = 2
Thus, 2 is the correct answer.