Concept-wise Practice

constant_difference MCQ Questions for Class 10

constant_difference se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with constant_difference.

अनुक्रम (y-6,y-2,y+2,y+6) के लिए सही कथन कौन सा है?

Which statement is correct for the sequence (y-6,y-2,y+2,y+6)?

Explanation opens after your attempt
Correct Answer

B. समांतर श्रेणी है और (d=4)It is an AP and (d=4)

Step 1

Concept

Each next term adds (4), so the common difference is (4). In exams, a variable constant part does not change the difference.

Step 2

Why this answer is correct

The correct answer is B. समांतर श्रेणी है और (d=4) / It is an AP and (d=4). Each next term adds (4), so the common difference is (4). In exams, a variable constant part does not change the difference.

Step 3

Exam Tip

हर अगले पद में (4) जुड़ता है, इसलिए सामान्य अंतर (4) है। परीक्षा में चर वाला स्थिर भाग अंतर को नहीं बदलता।

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किसी अनुक्रम में हर (n) के लिए \(a_{n+1}-a_n=6\) है। निष्कर्ष क्या है?

In a sequence, \(a_{n+1}-a_n=6\) for every (n). What is the conclusion?

Explanation opens after your attempt
Correct Answer

D. यह समांतर श्रेणी है और (d=6)It is an AP and (d=6)

Step 1

Concept

The consecutive difference is the constant (6), so the sequence is an AP. In exams, a constant \(a_{n+1}-a_n\) identifies an AP.

Step 2

Why this answer is correct

The correct answer is D. यह समांतर श्रेणी है और (d=6) / It is an AP and (d=6). The consecutive difference is the constant (6), so the sequence is an AP. In exams, a constant \(a_{n+1}-a_n\) identifies an AP.

Step 3

Exam Tip

लगातार अंतर स्थिर (6) है, इसलिए अनुक्रम समांतर श्रेणी है। परीक्षा में \(a_{n+1}-a_n\) स्थिर मिले तो तुरंत समांतर श्रेणी पहचानें।

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