negative-difference se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
50 questions tagged with negative-difference.
In an arithmetic progression, the first term is (22) and the second term is (16). What is (d)?
B. (-6)
(d=16-22=-6) है। दूसरा पद छोटा हो तो (d) ऋणात्मक होता है। / (d=16-22=-6). If the second term is smaller, (d) is negative.
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What is the difference between the third and fourth terms of \(75,69,63,57,\ldots\)?
B. (-6)
तीसरा पद (63) और चौथा (57) है इसलिए अंतर (57-63=-6) है। अंतर निकालते समय अगला पद घटा पिछला पद करें। / The third term is (63) and the fourth is (57), so the difference is (57-63=-6). While finding difference subtract the previous term from the next term.
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Which sequence is an arithmetic progression with (d=-7)?
A. \(60,53,46,39,\ldots\)
(53-60=-7), (46-53=-7) और (39-46=-7) हैं। सभी अंतर समान और (-7) होने चाहिए। / (53-60=-7), (46-53=-7), and (39-46=-7). All differences must be equal to (-7).
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If (a=15) and (d=-4), what will be the third term?
B. (7)
पहले तीन पद (15,11,7) हैं इसलिए तीसरा पद (7) है। ऋणात्मक (d) होने पर पद घटते हैं। / The first three terms are (15,11,7), so the third term is (7). When (d) is negative, terms decrease.
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Which sequence is an arithmetic progression with (d=-5)?
B. \(40,35,30,25,\ldots\)
(35-40=-5) और आगे भी यही अंतर है। समान ऋणात्मक अंतर घटती समांतर श्रेढ़ी बनाता है। / (35-40=-5), and the same difference continues. Equal negative difference forms a decreasing arithmetic progression.
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What will be the common difference in \(42,36,30,24,\ldots\)?
B. (-6)
सार्व अंतर (36-42=-6) है। घटती श्रेढ़ी में चिन्ह जरूर जाँचें। / The common difference is (36-42=-6). Always check the sign in a decreasing progression.
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If (a=12) and (d=-4), which is the correct order of the first three terms?
A. (12,8,4)
हर बार (-4) जोड़ने पर (12,8,4) मिलता है। ऋणात्मक अंतर को घटाव की तरह समझें। / Adding (-4) each time gives (12,8,4). Understand negative difference as subtraction.
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In which sequence are the terms decreasing by an equal amount but (d) is not (-2)?
A. \(20,17,14,11,\ldots\)
\(20,17,14,11,\ldots\) में (d=-3) है, (-2) नहीं। विकल्पों में चिह्न और मान दोनों जांचें। / In \(20,17,14,11,\ldots\), (d=-3), not (-2). Check both sign and value in options.
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In an arithmetic progression, the first term is (13) and the second term is (8). What is (d)?
B. (-5)
(d=8-13=-5) है। दूसरा पद छोटा हो तो (d) ऋणात्मक होगा। / (d=8-13=-5). If the second term is smaller, (d) will be negative.
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What is the difference between the third and fourth terms of \(42,39,36,33,\ldots\)?
B. (-3)
तीसरा पद (36) और चौथा (33) है इसलिए (33-36=-3)। अंतर निकालते समय बाद वाला पद घटा पहले वाला पद करें। / The third term is (36) and the fourth is (33), so (33-36=-3). While finding the difference subtract the previous term from the next term.
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Which sequence is an arithmetic progression with (d=-6)?
B. \(40,34,28,22,\ldots\)
(34-40=-6), (28-34=-6) और (22-28=-6) हैं। सभी अंतर समान और (-6) होने चाहिए। / (34-40=-6), (28-34=-6), and (22-28=-6). All differences must be equal to (-6).
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If (a=7) and (d=-3), what will be the third term?
B. (1)
पहले तीन पद (7,4,1) हैं इसलिए तीसरा पद (1) है। ऋणात्मक (d) होने पर पद घटते हैं। / The first three terms are (7,4,1), so the third term is (1). When (d) is negative, terms decrease.
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Which sequence is an arithmetic progression with common difference (-7)?
A. \(49,42,35,28,\ldots\)
(42-49=-7) है इसलिए हर बार (7) घट रहा है। घटती श्रेढ़ी में (d) ऋणात्मक लिखा जाता है। / (42-49=-7) so (7) is subtracted each time. In a decreasing progression, (d) is written as negative.
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What is the common difference of \(15,12,9,6,\ldots\)?
B. (-3)
यहाँ (12-15=-3) है। घटती समांतर श्रेढ़ी में सार्व अंतर ऋणात्मक होता है। / Here (12-15=-3). In a decreasing arithmetic progression, the common difference is negative.
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How much equal decrease is there in the sequence \(16,12,8,4,\ldots\)?
B. (4)
हर अगला पद (4) कम है इसलिए समान कमी (4) है। लेकिन (d) के रूप में यह (-4) होगा। / Each next term is (4) less, so the equal decrease is (4). But as (d), it is (-4).
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Which of the following is a decreasing arithmetic progression?
A. \(50,45,40,35,\ldots\)
\(50,45,40,35,\ldots\) में समान अंतर (-5) है। घटती अंकगणितीय श्रेणी का (d) ऋणात्मक होता है। / In \(50,45,40,35,\ldots\), the equal difference is (-5). A decreasing arithmetic progression has negative (d).
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What is the common difference in the sequence \(100,90,80,70,\ldots\)?
C. (-10)
सार्व अंतर (90-100=-10) है। घटते अनुक्रम में उत्तर का चिह्न जरूर देखें। / The common difference is (90-100=-10). In a decreasing sequence carefully check the sign.
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In the sequence \(20,15,10,5,\ldots\), what are the first term and common difference respectively?
A. (20) और (-5)(20) and (-5)
पहला पद (20) है और (15-20=-5) है। क्रमशः पूछे जाने पर क्रम का ध्यान रखें। / The first term is (20) and (15-20=-5). When asked respectively keep the order in mind.
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In an arithmetic progression, when (d<0), how do the terms generally change?
C. घटते हैंThey decrease
ऋणात्मक (d) का अर्थ हर बार घटाना है। इसलिए पद घटते हैं। / Negative (d) means subtraction occurs each time. Therefore, the terms decrease.
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What is the common difference in \(10,8,6,4,\ldots\)?
B. (-2)
यहाँ (8-10=-2) है। घटती हुई समांतर श्रेढ़ी में सार्व अंतर ऋणात्मक हो सकता है। / Here (8-10=-2). In a decreasing arithmetic progression, the common difference can be negative.
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