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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Sequences and Series

NDA 2019 · Mathematics · Sequences and Series

Let a, b, c be in AP and k ≠ 0 be a real number. Which of the...

Let a,b,ca, b, c be in AP and k≠0k \neq 0 be a real number. Which of the following are correct? 1. ka,kb,kck a, k b, k c are in AP 2. k−a,k−b,k−ck-a, k-b, k-c are in AP 3. ak,bk,ck\frac{a}{k}, \frac{b}{k}, \frac{c}{k} are in AP Select the correct answer using the code given below :

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1,2 and 3

Correct answer

D. 1,2 and 3

Step-by-step solution

APA P remains an APA P if it is multiplied, divided and subtracted by a constant number. ∴\therefore All three statements are correct.
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