Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively, show that S3 = 3 (S2– S1)
Let a and b be the first term and the common difference of the A.P. respectively.
Therefore,
From (1) and (2), we obtain
Hence, the given result is proved.
NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:
Let a and b be the first term and the common difference of the A.P. respectively.
Therefore,
From (1) and (2), we obtain
Hence, the given result is proved....
Step-by-step explanation:
• Let a and b be the first term and the common difference of the A
• P
• respectively
•
•
This question is important because it tests key concepts from the NCERT syllabus and is frequently asked in CBSE exams.
This question is based on core NCERT concepts explained in the chapter and should be revised thoroughly before exams.
Students often lose marks by skipping steps, writing incomplete explanations, or misunderstanding keywords used in the question.
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Student Discussion
S1 = n
S2 = n + 2n = 3n
S3 = n + 2n + 3n = 6n
according to question,
S3 = 3(S2 -S1 )
by putting the value of S1, S2, S3
6n = 3(3n - n)
6n = 3(2n)
6n = 6n
so, LHS = RHS
Hence Proved
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