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Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
MCQ
Statement-1 (A): The sequence whose $n^{\text {th }}$ term is given by $a_n=7 n-5$ is an A.P. with common difference 7.
Statement-2 (R): A sequence is an A.P. with common difference ' $A$ ' if and only if its $n^{\text {th }}$ terms is of the form $a_n=A n+B$.
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 and Statement- 2 are True; Statement- 2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement- 1 is False, Statement- 2 is True.
✓

Answer

Correct option: A.
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
(A)Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
Statement-2 is true (See Example 2 on page 5.6 in main book). Statement-1 is also true and statement-2 is a correct explanation for statement-1. Hence, option (a) is correct.

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