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अनुक्रम \(2,3,5,8,13,\ldots\) में हर पद पिछले दो पदों का योग है। आठवाँ पद क्या होगा?
In the sequence \(2,3,5,8,13,\ldots\), each term is the sum of the previous two terms. What is the eighth term?
Explanation opens after your attempt
Step 1
Concept
The next terms are (21,34), so the eighth term is (34). Exam tip: do not skip steps in recursive sequences.
Step 2
Why this answer is correct
The correct answer is B. (34). The next terms are (21,34), so the eighth term is (34). Exam tip: do not skip steps in recursive sequences.
Step 3
Exam Tip
आगे के पद (21,34) हैं इसलिए आठवाँ पद (34) है। पुनरावर्ती अनुक्रम में पद छोड़ना नहीं चाहिए।
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अनुक्रम \(4,6,10,16,26,\ldots\) में हर पद पिछले दो पदों का योग है। सातवाँ पद क्या होगा?
In the sequence \(4,6,10,16,26,\ldots\), each term is the sum of the previous two terms. What is the seventh term?
Explanation opens after your attempt
Step 1
Concept
The sixth term is (16+26=42) and the seventh is (26+42=68). Exam tip: count positions carefully in recursive sequences.
Step 2
Why this answer is correct
The correct answer is C. (42). The sixth term is (16+26=42) and the seventh is (26+42=68). Exam tip: count positions carefully in recursive sequences.
Step 3
Exam Tip
छठा पद (16+26=42) और सातवाँ पद (26+42=68) नहीं है क्योंकि पाँचवाँ (26) है। ध्यान से गिनने पर छठा (42) और सातवाँ (68) होगा।
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अनुक्रम \(2,6,18,54,\ldots\) में \(a_1=2\) और \(a_{n+1}=3a_n\) है। \(a_6\) क्या है?
In the sequence \(2,6,18,54,\ldots\), \(a_1=2\) and \(a_{n+1}=3a_n\). What is \(a_6\)?
Explanation opens after your attempt
Step 1
Concept
\(a_6=2\times3^5=486\). Exam tip: when starting from the first term, the exponent is (n-1).
Step 2
Why this answer is correct
The correct answer is D. (486). \(a_6=2\times3^5=486\). Exam tip: when starting from the first term, the exponent is (n-1).
Step 3
Exam Tip
\(a_6=2\times3^5=486\) है। पहले पद से गिनते समय घात (n-1) होती है।
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