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term from sum MCQ Questions for Class 10

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4 questions tagged with term from sum.

Question 1/4 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी का \(S_n=5n^2-4n\) है, तो (35)वाँ पद ज्ञात कीजिए।

If the sum of an AP is \(S_n=5n^2-4n\), find the (35)th term.

Explanation opens after your attempt
Correct Answer

C. (341)

Step 1

Concept

The (35)th term is \(S_{35}-S_{34}=341\). To get one term, use \(S_n-S_{n-1}\).

Step 2

Why this answer is correct

The correct answer is C. (341). The (35)th term is \(S_{35}-S_{34}=341\). To get one term, use \(S_n-S_{n-1}\).

Step 3

Exam Tip

(35)वाँ पद \(S_{35}-S_{34}=341\) है। एक पद पाने के लिए \(S_n-S_{n-1}\) लगाएँ।

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Question 2/4 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि किसी समांतर श्रेढ़ी का \(S_n=4n^2+9n\) है, तो (27)वाँ पद ज्ञात कीजिए।

If the sum of an AP is \(S_n=4n^2+9n\), find the (27)th term.

Explanation opens after your attempt
Correct Answer

B. (221)

Step 1

Concept

The (27)th term is \(S_{27}-S_{26}=221\). To get a single term, use \(S_n-S_{n-1}\).

Step 2

Why this answer is correct

The correct answer is B. (221). The (27)th term is \(S_{27}-S_{26}=221\). To get a single term, use \(S_n-S_{n-1}\).

Step 3

Exam Tip

(27)वाँ पद \(S_{27}-S_{26}=221\) है। किसी एक पद को पाने के लिए \(S_n-S_{n-1}\) लगाएँ।

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Question 3/4 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि किसी समांतर श्रेढ़ी का \(S_n=3n^2+5n\) है, तो (22)वाँ पद ज्ञात कीजिए।

If the sum of an AP is \(S_n=3n^2+5n\), find the (22)nd term.

Explanation opens after your attempt
Correct Answer

A. (134)

Step 1

Concept

The (22)nd term is \(S_{22}-S_{21}=134\). To get a single term, use \(S_n-S_{n-1}\).

Step 2

Why this answer is correct

The correct answer is A. (134). The (22)nd term is \(S_{22}-S_{21}=134\). To get a single term, use \(S_n-S_{n-1}\).

Step 3

Exam Tip

(22)वाँ पद \(S_{22}-S_{21}=134\) है। किसी एक पद को पाने के लिए \(S_n-S_{n-1}\) लगाएँ।

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Question 4/4 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी का \(S_n=2n^2+7n\) है, तो (18)वाँ पद ज्ञात कीजिए।

If the sum of an AP is \(S_n=2n^2+7n\), find the (18)th term.

Explanation opens after your attempt
Correct Answer

A. (77)

Step 1

Concept

The (18)th term is \(S_{18}-S_{17}=77\). To get a term, use \(S_n-S_{n-1}\).

Step 2

Why this answer is correct

The correct answer is A. (77). The (18)th term is \(S_{18}-S_{17}=77\). To get a term, use \(S_n-S_{n-1}\).

Step 3

Exam Tip

(18)वाँ पद \(S_{18}-S_{17}=77\) है। किसी पद को पाने के लिए \(S_n-S_{n-1}\) लगाएँ।

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