किसी समांतर श्रेढ़ी में (a=17), (d=1) है। (40)वाँ पद क्या है?
In an AP, (a=17), (d=1). What is the (40)th term?
Explanation opens after your attempt
Step 1
Concept
\(a_{40}=17+39\times1=56\). When (d=1), (n-1) is directly added to the first term.
Step 2
Why this answer is correct
The correct answer is C. (56). \(a_{40}=17+39\times1=56\). When (d=1), (n-1) is directly added to the first term.
Step 3
Exam Tip
\(a_{40}=17+39\times1=56\)। जब (d=1) हो, तो (n-1) सीधे प्रथम पद में जुड़ता है।
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यदि \(a_n=30-3n\) है, तो (6)वाँ पद क्या होगा?
If \(a_n=30-3n\), what will be the (6)th term?
Explanation opens after your attempt
Step 1
Concept
\(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 2
Why this answer is correct
The correct answer is D. (12). \(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 3
Exam Tip
\(a_6=30-3\times6=12\)। घटते हुए सामान्य पद में घटाव सावधानी से करें।
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यदि \(a_n=5n-1\) हो, तो इस समांतर श्रेढ़ी का (20)वाँ पद क्या है?
If \(a_n=5n-1\), what is the (20)th term of this AP?
Explanation opens after your attempt
Step 1
Concept
\(a_{20}=5\times20-1=99\). When \(a_n\) is given, put the value of (n) in it.
Step 2
Why this answer is correct
The correct answer is B. (99). \(a_{20}=5\times20-1=99\). When \(a_n\) is given, put the value of (n) in it.
Step 3
Exam Tip
\(a_{20}=5\times20-1=99\)। जब \(a_n\) दिया हो, तो सूत्र में (n) का मान रखें।
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यदि (a=8) और (d=9) है, तो समांतर श्रेढ़ी का (10)वाँ पद क्या होगा?
If (a=8) and (d=9), what will be the (10)th term of the AP?
Explanation opens after your attempt
Step 1
Concept
\(a_{10}=8+9\times9=89\). Multiply (d) by (n-1).
Step 2
Why this answer is correct
The correct answer is D. (89). \(a_{10}=8+9\times9=89\). Multiply (d) by (n-1).
Step 3
Exam Tip
\(a_{10}=8+9\times9=89\)। (d) को (n-1) से गुणा करें।
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समांतर श्रेढ़ी \(1,6,11,16,\ldots\) का (25)वाँ पद ज्ञात कीजिए।
Find the (25)th term of the AP \(1,6,11,16,\ldots\).
Explanation opens after your attempt
Step 1
Concept
Here (a=1), (d=5), so \(a_{25}=1+24\times5=121\). The same formula works even for larger (n).
Step 2
Why this answer is correct
The correct answer is C. (121). Here (a=1), (d=5), so \(a_{25}=1+24\times5=121\). The same formula works even for larger (n).
Step 3
Exam Tip
यहाँ (a=1), (d=5) है, इसलिए \(a_{25}=1+24\times5=121\)। बड़े (n) में भी वही सूत्र लगता है।
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