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double-plus-linear MCQ Questions for Class 9

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

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6 questions tagged with double-plus-linear.

Question 1/6 Expert Mathematics Sequences and Progressions Recursive rule Class 9 Level 44

यदि \(a_1=9\) और \(a_{n+1}=2a_n+3n-2\) है तो \(a_3\) क्या होगा?

If \(a_1=9\) and \(a_{n+1}=2a_n+3n-2\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (42)

Step 1

Concept

The terms are (9,19,42), so \(a_3=42\). Exam tip: double the previous term first and then add (3n-2).

Step 2

Why this answer is correct

The correct answer is C. (42). The terms are (9,19,42), so \(a_3=42\). Exam tip: double the previous term first and then add (3n-2).

Step 3

Exam Tip

पद (9,19,42) हैं इसलिए \(a_3=42\) है। पहले पिछले पद को दोगुना करें फिर (3n-2) जोड़ें।

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Question 2/6 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\) और \(a_{n+1}=2a_n+4n-1\) है तो \(a_3\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=2a_n+4n-1\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (29)

Step 1

Concept

\(a_2=2\times4+3=11\) and \(a_3=2\times11+7=29\). Exam tip: (4n-1) changes at each step.

Step 2

Why this answer is correct

The correct answer is C. (29). \(a_2=2\times4+3=11\) and \(a_3=2\times11+7=29\). Exam tip: (4n-1) changes at each step.

Step 3

Exam Tip

\(a_2=2\times4+3=11\) और \(a_3=2\times11+7=29\) है। (4n-1) का मान हर चरण में बदलता है।

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Question 3/6 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\) और \(a_{n+1}=2a_n+4n-1\) है तो \(a_4\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=2a_n+4n-1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (71)

Step 1

Concept

The terms are (4,11,29,69), so \(a_4=69\). Exam tip: double first and then add (4n-1).

Step 2

Why this answer is correct

The correct answer is C. (71). The terms are (4,11,29,69), so \(a_4=69\). Exam tip: double first and then add (4n-1).

Step 3

Exam Tip

पद (4,11,29,69) हैं इसलिए \(a_4=69\) है। सही विकल्पों में (69) होना चाहिए।

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Question 4/6 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=2\) और \(a_{n+1}=2a_n+3n-1\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=2a_n+3n-1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (42)

Step 1

Concept

The terms are (2,6,17,42), so \(a_4=42\). Exam tip: (3n-1) changes at every step.

Step 2

Why this answer is correct

The correct answer is C. (42). The terms are (2,6,17,42), so \(a_4=42\). Exam tip: (3n-1) changes at every step.

Step 3

Exam Tip

पद (2,6,17,42) हैं इसलिए \(a_4=42\) है। (3n-1) का मान हर चरण में नया होता है।

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Question 5/6 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=3\) और \(a_{n+1}=2a_n+2n+1\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=2a_n+2n+1\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Step 1

Concept

\(a_2=2\times3+3=9\) and \(a_3=2\times9+5=23\). Exam tip: the value of (2n+1) changes each time.

Step 2

Why this answer is correct

The correct answer is C. (23). \(a_2=2\times3+3=9\) and \(a_3=2\times9+5=23\). Exam tip: the value of (2n+1) changes each time.

Step 3

Exam Tip

\(a_2=2\times3+3=9\) और \(a_3=2\times9+5=23\) है। (2n+1) का मान हर बार बदलता है।

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Question 6/6 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=3\) और \(a_{n+1}=2a_n+2n+1\) है तो \(a_4\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=2a_n+2n+1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (49)

Step 1

Concept

The terms are (3,9,23,53), so \(a_4=53\). The correct option should include (53).

Step 2

Why this answer is correct

The correct answer is B. (49). The terms are (3,9,23,53), so \(a_4=53\). The correct option should include (53).

Step 3

Exam Tip

पद (3,9,23,53) हैं इसलिए \(a_4=53\) है। सही विकल्प में (53) होना चाहिए।

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