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ap-term-number-hard MCQ Questions for Class 10

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3 questions tagged with ap-term-number-hard.

Question 1/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

समान्तर श्रेणी में \(a_{13}=64\) और \(a_{29}=176\) है। वह कौन-सा पद (288) होगा?

In an AP, \(a_{13}=64\) and \(a_{29}=176\). Which term will be (288)?

Explanation opens after your attempt
Correct Answer

C. (45)वां(45)th

Step 1

Concept

\(d=\frac{176-64}{29-13}=7\). From (288=64+(n-13)7), (n=45).

Step 2

Why this answer is correct

The correct answer is C. (45)वां / (45)th. \(d=\frac{176-64}{29-13}=7\). From (288=64+(n-13)7), (n=45).

Step 3

Exam Tip

\(d=\frac{176-64}{29-13}=7\)। (288=64+(n-13)7) से (n=45)।

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Question 2/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

समान्तर श्रेणी में \(a_{11}=38\) और \(a_{26}=128\) है। वह कौन-सा पद (218) होगा?

In an AP, \(a_{11}=38\) and \(a_{26}=128\). Which term will be (218)?

Explanation opens after your attempt
Correct Answer

C. (41)वां(41)st

Step 1

Concept

\(d=\frac{128-38}{26-11}=6\). From (218=38+(n-11)6), (n=41).

Step 2

Why this answer is correct

The correct answer is C. (41)वां / (41)st. \(d=\frac{128-38}{26-11}=6\). From (218=38+(n-11)6), (n=41).

Step 3

Exam Tip

\(d=\frac{128-38}{26-11}=6\)। (218=38+(n-11)6) से (n=41)।

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Question 3/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समान्तर श्रेणी में \(a_8=27\) और \(a_{18}=77\) है। वह कौन-सा पद (152) होगा?

In an AP, \(a_8=27\) and \(a_{18}=77\). Which term will be (152)?

Explanation opens after your attempt
Correct Answer

C. (33)वां(33)rd

Step 1

Concept

\(d=\frac{77-27}{10}=5\). From (152=27+(n-8)5), (n=33).

Step 2

Why this answer is correct

The correct answer is C. (33)वां / (33)rd. \(d=\frac{77-27}{10}=5\). From (152=27+(n-8)5), (n=33).

Step 3

Exam Tip

\(d=\frac{77-27}{10}=5\)। (152=27+(n-8)5) से (n=33)।

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