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Mathematics Finding the $n$th term of an AP MCQ Questions for Class 10

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Finding the $n$th term of an AP Practice Questions

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Question 1/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी में प्रथम पद (a=4) और सार्व अंतर (d=3) है। इसका (10)वाँ पद क्या होगा?

In an AP, first term (a=4) and common difference (d=3). What is the (10)th term?

Explanation opens after your attempt

Correct Answer

A. (31)

Step 1

Concept

Using (a_n=a+(n-1)d), $a_{10}=4+9\times3=31$. Exam tip: write (n-1) carefully.

Step 2

Why this answer is correct

The correct answer is A. (31). Using (a_n=a+(n-1)d), $a_{10}=4+9\times3=31$. Exam tip: write (n-1) carefully.

Step 3

Exam Tip

सूत्र (a_n=a+(n-1)d) लगाने पर $a_{10}=4+9\times3=31$। परीक्षा में (n-1) को ध्यान से लिखें।

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Question 2/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $7,11,15,19,\ldots$ का (12)वाँ पद ज्ञात कीजिए।

Find the (12)th term of the AP $7,11,15,19,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (51)

Step 1

Concept

Here (a=7), (d=4), so $a_{12}=7+11\times4=51$. First check the difference between terms.

Step 2

Why this answer is correct

The correct answer is B. (51). Here (a=7), (d=4), so $a_{12}=7+11\times4=51$. First check the difference between terms.

Step 3

Exam Tip

यहाँ (a=7), (d=4) है, इसलिए $a_{12}=7+11\times4=51$। पदों के बीच का अंतर पहले जाँचें।

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Question 3/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $20,17,14,11,\ldots$ का (9)वाँ पद क्या है?

What is the (9)th term of the AP $20,17,14,11,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (-4)

Step 1

Concept

Here (d=-3), so (a_9=20+8(-3)=-4). In a decreasing AP, do not miss the sign of (d).

Step 2

Why this answer is correct

The correct answer is C. (-4). Here (d=-3), so (a_9=20+8(-3)=-4). In a decreasing AP, do not miss the sign of (d).

Step 3

Exam Tip

यहाँ (d=-3) है, इसलिए (a_9=20+8(-3)=-4)। घटती श्रेढ़ी में (d) का चिह्न न भूलें।

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Question 4/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि (a=2), (d=5) हो, तो समांतर श्रेढ़ी का (15)वाँ पद क्या होगा?

If (a=2), (d=5), what will be the (15)th term of the AP?

Explanation opens after your attempt

Correct Answer

D. (72)

Step 1

Concept

$a_{15}=2+14\times5=72$. Always remember that (15)th term has (14) differences added.

Step 2

Why this answer is correct

The correct answer is D. (72). $a_{15}=2+14\times5=72$. Always remember that (15)th term has (14) differences added.

Step 3

Exam Tip

$a_{15}=2+14\times5=72$। हमेशा (15) के साथ (14) अंतर जुड़ते हैं।

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Question 5/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $3,8,13,18,\ldots$ का (20)वाँ पद कौन सा है?

Which is the (20)th term of the AP $3,8,13,18,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (98)

Step 1

Concept

Here (a=3), (d=5), so $a_{20}=3+19\times5=98$. Keep the first term and term number correct in the formula.

Step 2

Why this answer is correct

The correct answer is A. (98). Here (a=3), (d=5), so $a_{20}=3+19\times5=98$. Keep the first term and term number correct in the formula.

Step 3

Exam Tip

यहाँ (a=3), (d=5) है, इसलिए $a_{20}=3+19\times5=98$। पहले और पद संख्या को सूत्र में सही रखें।

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Question 6/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी में (a=9), (d=2) है। (18)वाँ पद ज्ञात कीजिए।

In an AP, (a=9), (d=2). Find the (18)th term.

Explanation opens after your attempt

Correct Answer

B. (43)

Step 1

Concept

$a_{18}=9+17\times2=43$. Use (n-1), not directly (18), with (d).

Step 2

Why this answer is correct

The correct answer is B. (43). $a_{18}=9+17\times2=43$. Use (n-1), not directly (18), with (d).

Step 3

Exam Tip

$a_{18}=9+17\times2=43$। (n) के स्थान पर सीधे (18) नहीं, (n-1) का प्रयोग करें।

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Question 7/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $50,45,40,35,\ldots$ का (7)वाँ पद क्या होगा?

What will be the (7)th term of the AP $50,45,40,35,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (20)

Step 1

Concept

Here (d=-5), so (a_7=50+6(-5)=20). Writing a negative difference in brackets is safer.

Step 2

Why this answer is correct

The correct answer is C. (20). Here (d=-5), so (a_7=50+6(-5)=20). Writing a negative difference in brackets is safer.

Step 3

Exam Tip

यहाँ (d=-5) है, इसलिए (a_7=50+6(-5)=20)। ऋणात्मक अंतर को कोष्ठक में लिखना सुरक्षित है।

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Question 8/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि समांतर श्रेढ़ी का प्रथम पद (6) और सार्व अंतर (7) है, तो (11)वाँ पद क्या है?

If the first term of an AP is (6) and the common difference is (7), what is the (11)th term?

Explanation opens after your attempt

Correct Answer

D. (76)

Step 1

Concept

$a_{11}=6+10\times7=76$. Up to the (11)th term, the difference is added (10) times.

Step 2

Why this answer is correct

The correct answer is D. (76). $a_{11}=6+10\times7=76$. Up to the (11)th term, the difference is added (10) times.

Step 3

Exam Tip

$a_{11}=6+10\times7=76$। (11)वें पद तक (10) बार अंतर जुड़ता है।

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Question 9/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $-5,-2,1,4,\ldots$ का (14)वाँ पद ज्ञात करें।

Find the (14)th term of the AP $-5,-2,1,4,\ldots$.

Explanation opens after your attempt

Correct Answer

A. (34)

Step 1

Concept

Here (a=-5), (d=3), so $a_{14}=-5+13\times3=34$. Keep signs carefully with a negative first term.

Step 2

Why this answer is correct

The correct answer is A. (34). Here (a=-5), (d=3), so $a_{14}=-5+13\times3=34$. Keep signs carefully with a negative first term.

Step 3

Exam Tip

यहाँ (a=-5), (d=3) है, इसलिए $a_{14}=-5+13\times3=34$। ऋणात्मक प्रथम पद के साथ चिन्ह सावधानी से रखें।

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Question 10/600 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी $12,18,24,30,\ldots$ का (16)वाँ पद क्या होगा?

What will be the (16)th term of the AP $12,18,24,30,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (102)

Step 1

Concept

Here (a=12), (d=6), so $a_{16}=12+15\times6=102$. Start calculation from the given first term.

Step 2

Why this answer is correct

The correct answer is B. (102). Here (a=12), (d=6), so $a_{16}=12+15\times6=102$. Start calculation from the given first term.

Step 3

Exam Tip

यहाँ (a=12), (d=6) है, इसलिए $a_{16}=12+15\times6=102$। प्रश्न में दिए पहले पद से ही गणना शुरू करें।

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Finding the $n$th term of an AP Practice Questions

समांतर श्रेढ़ी में प्रथम पद (a=4) और सार्व अंतर (d=3) है। इसका (10)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(7,11,15,19,\ldots\) का (12)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(20,17,14,11,\ldots\) का (9)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (a=2), (d=5) हो, तो समांतर श्रेढ़ी का (15)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(3,8,13,18,\ldots\) का (20)वाँ पद कौन सा है?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी में (a=9), (d=2) है। (18)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(50,45,40,35,\ldots\) का (7)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समांतर श्रेढ़ी का प्रथम पद (6) और सार्व अंतर (7) है, तो (11)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(-5,-2,1,4,\ldots\) का (14)वाँ पद ज्ञात करें।

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(12,18,24,30,\ldots\) का (16)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

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