यदि किसी अंकगणितीय श्रेणी के पहले दो पद (-12) और (-7) हैं तो तीसरा पद क्या होगा?
If the first two terms of an arithmetic progression are (-12) and (-7), what will be the third term?
#ap
#first two terms
#third term
#medium
A (-2)
B (-5)
C (2)
D (-17)
Explanation opens after your attempt
Step 1
Concept
The common difference is (-7-(-12)=5), so the third term is (-7+5=-2). Watch signs carefully with negative numbers.
Step 2
Why this answer is correct
The correct answer is A. (-2). The common difference is (-7-(-12)=5), so the third term is (-7+5=-2). Watch signs carefully with negative numbers.
Step 3
Exam Tip
सार्व अंतर (-7-(-12)=5) है इसलिए तीसरा पद (-7+5=-2) है। ऋणात्मक संख्याओं में चिह्न सावधानी से देखें।
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अनुक्रम \(9,16,23,30,\ldots\) में (a+2d) का मान क्या है?
In the sequence \(9,16,23,30,\ldots\), what is the value of (a+2d)?
#ap
#a plus 2d
#third term
#medium
A (16)
B (30)
C (23)
D (7)
Explanation opens after your attempt
Step 1
Concept
Here (a=9) and (d=7), so (a+2d=9+14=23). (a+2d) equals the third term.
Step 2
Why this answer is correct
The correct answer is C. (23). Here (a=9) and (d=7), so (a+2d=9+14=23). (a+2d) equals the third term.
Step 3
Exam Tip
यहां (a=9) और (d=7), इसलिए (a+2d=9+14=23)। (a+2d) तीसरे पद के बराबर होता है।
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यदि (a=8) और (d=3) है तो (a+2d) किस पद को दर्शाता है?
If (a=8) and (d=3), which term does (a+2d) represent?
#ap
#general form
#third term
#medium
A पहला पद / First term
B दूसरा पद / Second term
C तीसरा पद / Third term
D चौथा पद / Fourth term
Explanation opens after your attempt
Correct Answer
C. तीसरा पद / Third term
Step 1
Concept
In the general form \(a,a+d,a+2d,\ldots\), (a+2d) is the third term. Remember the general form to identify terms.
Step 2
Why this answer is correct
The correct answer is C. तीसरा पद / Third term. In the general form \(a,a+d,a+2d,\ldots\), (a+2d) is the third term. Remember the general form to identify terms.
Step 3
Exam Tip
सामान्य रूप \(a,a+d,a+2d,\ldots\) में (a+2d) तीसरा पद है। पद पहचानने के लिए सामान्य रूप याद रखें।
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यदि (a=15) और (d=-4) है तो तीसरा पद क्या होगा?
If (a=15) and (d=-4), what will be the third term?
#ap
#third term
#negative difference
#medium
A (11)
B (7)
C (19)
D (3)
Explanation opens after your attempt
Step 1
Concept
The first three terms are (15,11,7), so the third term is (7). When (d) is negative, terms decrease.
Step 2
Why this answer is correct
The correct answer is B. (7). The first three terms are (15,11,7), so the third term is (7). When (d) is negative, terms decrease.
Step 3
Exam Tip
पहले तीन पद (15,11,7) हैं इसलिए तीसरा पद (7) है। ऋणात्मक (d) होने पर पद घटते हैं।
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यदि (a=20) और (d=-3) है, तो समांतर श्रेढ़ी का तीसरा पद क्या होगा?
If (a=20) and (d=-3), what is the third term of the arithmetic progression?
#arithmetic-progression
#third-term
#class10
A (14)
B (17)
C (20)
D (23)
Explanation opens after your attempt
Step 1
Concept
The first three terms are (20,17,14). With negative (d), subtraction occurs each time.
Step 2
Why this answer is correct
The correct answer is A. (14). The first three terms are (20,17,14). With negative (d), subtraction occurs each time.
Step 3
Exam Tip
पहले तीन पद (20,17,14) होंगे। ऋणात्मक (d) में हर बार घटाव होता है।
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यदि किसी अंकगणितीय श्रेणी के पहले दो पद (-7) और (-2) हैं तो तीसरा पद क्या होगा?
If the first two terms of an arithmetic progression are (-7) and (-2), what will be the third term?
#ap
#first two terms
#third term
#medium
A (3)
B (-5)
C (5)
D (-12)
Explanation opens after your attempt
Step 1
Concept
The common difference is (-2-(-7)=5), so the third term is (-2+5=3). Watch signs carefully with negative numbers.
Step 2
Why this answer is correct
The correct answer is A. (3). The common difference is (-2-(-7)=5), so the third term is (-2+5=3). Watch signs carefully with negative numbers.
Step 3
Exam Tip
सार्व अंतर (-2-(-7)=5) है इसलिए तीसरा पद (-2+5=3) है। ऋणात्मक संख्याओं में चिह्न सावधानी से देखें।
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अनुक्रम \(3,8,13,18,\ldots\) में (a+2d) का मान क्या है?
In the sequence \(3,8,13,18,\ldots\), what is the value of (a+2d)?
#ap
#a plus 2d
#third term
#medium
A (8)
B (18)
C (13)
D (5)
Explanation opens after your attempt
Step 1
Concept
Here (a=3) and (d=5), so (a+2d=3+10=13). (a+2d) equals the third term.
Step 2
Why this answer is correct
The correct answer is C. (13). Here (a=3) and (d=5), so (a+2d=3+10=13). (a+2d) equals the third term.
Step 3
Exam Tip
यहां (a=3) और (d=5), इसलिए (a+2d=3+10=13)। (a+2d) तीसरे पद के बराबर होता है।
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यदि (a=6) और (d=2) है तो (a+2d) किस पद को दर्शाता है?
If (a=6) and (d=2), which term does (a+2d) represent?
#ap
#general form
#third term
#medium
A पहला पद / First term
B दूसरा पद / Second term
C तीसरा पद / Third term
D चौथा पद / Fourth term
Explanation opens after your attempt
Correct Answer
C. तीसरा पद / Third term
Step 1
Concept
In the general form \(a,a+d,a+2d,\ldots\), (a+2d) is the third term. Remembering the general form makes term identification easier.
Step 2
Why this answer is correct
The correct answer is C. तीसरा पद / Third term. In the general form \(a,a+d,a+2d,\ldots\), (a+2d) is the third term. Remembering the general form makes term identification easier.
Step 3
Exam Tip
सामान्य रूप \(a,a+d,a+2d,\ldots\) में (a+2d) तीसरा पद है। सामान्य रूप याद रखने से पद पहचानना आसान होता है।
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यदि (a=7) और (d=-3) है तो तीसरा पद क्या होगा?
If (a=7) and (d=-3), what will be the third term?
#ap
#third term
#negative difference
#medium
A (4)
B (1)
C (10)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The first three terms are (7,4,1), so the third term is (1). When (d) is negative, terms decrease.
Step 2
Why this answer is correct
The correct answer is B. (1). The first three terms are (7,4,1), so the third term is (1). When (d) is negative, terms decrease.
Step 3
Exam Tip
पहले तीन पद (7,4,1) हैं इसलिए तीसरा पद (1) है। ऋणात्मक (d) होने पर पद घटते हैं।
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किसी अंकगणितीय श्रेणी \(a,a+d,a+2d,\ldots\) में तीसरा पद कौन सा है?
In an arithmetic progression \(a,a+d,a+2d,\ldots\), which is the third term?
#ap
#general form
#third term
#easy
A (a+2d)
B (a+d)
C (2a+d)
D (ad)
Explanation opens after your attempt
Step 1
Concept
The third term is (a+2d). As the term number increases the coefficient of (d) increases.
Step 2
Why this answer is correct
The correct answer is A. (a+2d). The third term is (a+2d). As the term number increases the coefficient of (d) increases.
Step 3
Exam Tip
तीसरा पद (a+2d) है। पद संख्या बढ़ने पर (d) का गुणांक बढ़ता है।
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