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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि \(6, 11, 16, 21,\ldots\) के प्रत्येक पद को (3) से गुणा किया जाए, तो नया सार्व अंतर क्या होगा?

If each term of \(6, 11, 16, 21,\ldots\) is multiplied by (3), what will be the new common difference?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

The original common difference is (5), so after multiplying by (3), the new (d=15). When all terms are multiplied by the same factor, (d) is multiplied by that factor too.

Step 2

Why this answer is correct

The correct answer is C. (15). The original common difference is (5), so after multiplying by (3), the new (d=15). When all terms are multiplied by the same factor, (d) is multiplied by that factor too.

Step 3

Exam Tip

मूल सार्व अंतर (5) है, इसलिए (3) से गुणा करने पर नया (d=15) होगा। सभी पदों को समान गुणक से गुणा करने पर (d) भी उसी गुणक से गुणा होता है।

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