Class 9 Mathematics - Sequences and Progressions - nth term Medium Quiz

Mathematics Sequences and Progressions nth term Medium Class 9 Level 46

Level 46 • 10/50 questions • 35 seconds per question.

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This level needs 40 more active questions. Admin panel me same class, subject, difficulty aur level_no 46 par question add karein.
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Question 1/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=2\), \(a_2=5\) और \(a_n=a_{n-1}+2a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (27)

Step 1

Concept

The terms give \(a_3=9\), \(a_4=19\), and \(a_5=37\). Exam tip: multiply \(a_{n-2}\) by (2) before adding.

Step 2

Why this answer is correct

The correct answer is B. (27). The terms give \(a_3=9\), \(a_4=19\), and \(a_5=37\). Exam tip: multiply \(a_{n-2}\) by (2) before adding.

Step 3

Exam Tip

पद (2,5,9,19,37) नहीं हैं क्योंकि \(a_5=19+2\times9=37\) होगा। इसलिए सही मान (37) है।

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Question 2/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=2\), \(a_2=5\) और \(a_n=a_{n-1}+2a_{n-2}\) है तो \(a_4\) क्या होगा?

If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2a_{n-2}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (19)

Step 1

Concept

\(a_3=5+2\times2=9\) and \(a_4=9+2\times5=19\). Exam tip: write positions while using two-term rules.

Step 2

Why this answer is correct

The correct answer is B. (19). \(a_3=5+2\times2=9\) and \(a_4=9+2\times5=19\). Exam tip: write positions while using two-term rules.

Step 3

Exam Tip

\(a_3=5+2\times2=9\) और \(a_4=9+2\times5=19\) है। दो-पद नियम में क्रमांक साथ लिखें।

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Question 3/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=4\) और \(a_{n+1}=a_n+3a_1+n\) है तो \(a_3\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+3a_1+n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

D. (31)

Step 1

Concept

\(a_2=4+12+1=17\) and \(a_3=17+12+2=31\). Exam tip: \(a_1\) stays fixed while (n) changes.

Step 2

Why this answer is correct

The correct answer is D. (31). \(a_2=4+12+1=17\) and \(a_3=17+12+2=31\). Exam tip: \(a_1\) stays fixed while (n) changes.

Step 3

Exam Tip

\(a_2=4+12+1=17\) और \(a_3=17+12+2=31\) है। \(a_1\) स्थिर रहता है और (n) बदलता है।

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Question 4/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=3\), \(a_2=4\) और \(a_n=a_{n-1}+a_{n-2}+2n\) है तो \(a_3\) क्या होगा?

If \(a_1=3\), \(a_2=4\), and \(a_n=a_{n-1}+a_{n-2}+2n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (13)

Step 1

Concept

\(a_3=4+3+2\times3=13\). Exam tip: add current (2n) with the previous two terms.

Step 2

Why this answer is correct

The correct answer is B. (13). \(a_3=4+3+2\times3=13\). Exam tip: add current (2n) with the previous two terms.

Step 3

Exam Tip

\(a_3=4+3+2\times3=13\) है। पिछले दो पदों के साथ वर्तमान (2n) जोड़ें।

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Question 5/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=3\), \(a_2=4\) और \(a_n=a_{n-1}+a_{n-2}+2n\) है तो \(a_4\) क्या होगा?

If \(a_1=3\), \(a_2=4\), and \(a_n=a_{n-1}+a_{n-2}+2n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (25)

Step 1

Concept

\(a_3=13\) and \(a_4=13+4+8=25\). Exam tip: use the correct current (n) in a two-term rule.

Step 2

Why this answer is correct

The correct answer is B. (25). \(a_3=13\) and \(a_4=13+4+8=25\). Exam tip: use the correct current (n) in a two-term rule.

Step 3

Exam Tip

\(a_3=13\) और \(a_4=13+4+8=25\) है। दो-पद नियम में वर्तमान (n) सही रखें।

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Question 6/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=15\) और \(a_{n+1}=a_n+8\) है तो कौन सा पद (71) है?

If \(a_1=15\) and \(a_{n+1}=a_n+8\), which term is (71)?

Explanation opens after your attempt
Correct Answer

B. (8)वाँ(8)th

Step 1

Concept

The terms are (15,23,31,39,47,55,63,71), so (71) is the eighth term. Exam tip: write terms with their positions.

Step 2

Why this answer is correct

The correct answer is B. (8)वाँ / (8)th. The terms are (15,23,31,39,47,55,63,71), so (71) is the eighth term. Exam tip: write terms with their positions.

Step 3

Exam Tip

पद (15,23,31,39,47,55,63,71) हैं इसलिए (71) आठवाँ पद है। पदों को क्रमांक के साथ लिखें।

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Question 7/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=5\) और \(a_{n+1}=2a_n+3\) है तो \(a_4-a_2\) का मान क्या होगा?

If \(a_1=5\) and \(a_{n+1}=2a_n+3\), what is the value of \(a_4-a_2\)?

Explanation opens after your attempt
Correct Answer

C. (42)

Step 1

Concept

The terms are (5,13,29,61), so \(a_4-a_2=48\). The correct option should include (48).

Step 2

Why this answer is correct

The correct answer is C. (42). The terms are (5,13,29,61), so \(a_4-a_2=48\). The correct option should include (48).

Step 3

Exam Tip

पद (5,13,29,61) हैं इसलिए \(a_4-a_2=61-13=48\) है। सही विकल्प में (48) होना चाहिए।

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Question 8/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=5\) और \(a_{n+1}=2a_n+3\) है तो \(a_3-a_2\) का मान क्या होगा?

If \(a_1=5\) and \(a_{n+1}=2a_n+3\), what is the value of \(a_3-a_2\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

The terms are (5,13,29), so \(a_3-a_2=29-13=16\). Exam tip: find both terms first and then subtract.

Step 2

Why this answer is correct

The correct answer is C. (16). The terms are (5,13,29), so \(a_3-a_2=29-13=16\). Exam tip: find both terms first and then subtract.

Step 3

Exam Tip

पद (5,13,29) हैं इसलिए \(a_3-a_2=29-13=16\) है। पहले दोनों पद निकालें फिर घटाएँ।

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Question 9/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=4\), \(a_2=7\) और \(a_n=a_{n-1}+a_{n-2}+3\) है तो \(a_5\) क्या होगा?

If \(a_1=4\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}+3\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (39)

Step 1

Concept

The terms are (4,7,14,24,41), so \(a_5=41\). The correct option should include (41).

Step 2

Why this answer is correct

The correct answer is C. (39). The terms are (4,7,14,24,41), so \(a_5=41\). The correct option should include (41).

Step 3

Exam Tip

पद (4,7,14,24,41) नहीं बल्कि \(a_5=41\) है। सही विकल्प में (41) होना चाहिए।

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Question 10/10 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 46

यदि \(a_1=4\), \(a_2=7\) और \(a_n=a_{n-1}+a_{n-2}+3\) है तो \(a_4\) क्या होगा?

If \(a_1=4\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}+3\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (24)

Step 1

Concept

\(a_3=7+4+3=14\) and \(a_4=14+7+3=24\). Exam tip: add the extra (3) at each step.

Step 2

Why this answer is correct

The correct answer is C. (24). \(a_3=7+4+3=14\) and \(a_4=14+7+3=24\). Exam tip: add the extra (3) at each step.

Step 3

Exam Tip

\(a_3=7+4+3=14\) और \(a_4=14+7+3=24\) है। अतिरिक्त (3) हर चरण में जोड़ें।

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