sequences se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
3683 questions tagged with sequences.
If the sum of the first (n) natural numbers is (990), what is (n)?
C. (44)
\(\frac{44\cdot45}{2}=990\), इसलिए (n=44)। विकल्पों को सूत्र में रखकर मिलान करें। / \(\frac{44\cdot45}{2}=990\), so (n=44). Match the options using the formula.
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If \(S_n=861\), what is the correct value of (n)?
C. (41)
\(\frac{41\cdot42}{2}=861\), इसलिए (n=41)। उत्तर को सूत्र से अवश्य सत्यापित करें। / \(\frac{41\cdot42}{2}=861\), so (n=41). Always verify the answer with the formula.
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If the sum of the first (n) natural numbers is (741), what will (n) be?
C. (38)
\(\frac{38\cdot39}{2}=741\), इसलिए (n=38)। ऐसे प्रश्नों में विकल्प जल्दी जांचे जा सकते हैं। / \(\frac{38\cdot39}{2}=741\), so (n=38). In such questions, options can be checked quickly.
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If \(S_n=595\), what is the value of (n)?
C. (34)
\(\frac{34\cdot35}{2}=595\), इसलिए (n=34)। विकल्प को सूत्र में रखकर जांचें। / \(\frac{34\cdot35}{2}=595\), so (n=34). Check the option in the formula.
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Which is the sum of the first (52) natural numbers?
C. (1378)
\(S_{52}=\frac{52\cdot53}{2}=1378\)। (52) का आधा (26) लेकर \(26\cdot53\) करें। / \(S_{52}=\frac{52\cdot53}{2}=1378\). Take half of (52) as (26) and calculate \(26\cdot53\).
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How much is the sum of the first (49) natural numbers?
C. (1225)
\(S_{49}=\frac{49\cdot50}{2}=1225\)। (50) का आधा (25) लेकर \(49\cdot25\) करें। / \(S_{49}=\frac{49\cdot50}{2}=1225\). Take half of (50) as (25) and calculate \(49\cdot25\).
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What will be the sum of \(1+2+3+\cdots+48\)?
B. (1176)
\(S_{48}=\frac{48\cdot49}{2}=1176\)। (48) को (2) से भाग देकर \(24\cdot49\) करें। / \(S_{48}=\frac{48\cdot49}{2}=1176\). Divide (48) by (2) and calculate \(24\cdot49\).
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Find the sum of the first (47) natural numbers.
B. (1128)
\(S_{47}=\frac{47\cdot48}{2}=1128\)। (48) का आधा (24) लेकर \(47\cdot24\) करें। / \(S_{47}=\frac{47\cdot48}{2}=1128\). Take half of (48) as (24) and calculate \(47\cdot24\).
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What is the sum of the first (46) natural numbers?
C. (1081)
\(S_{46}=\frac{46\cdot47}{2}=1081\)। (46) का आधा (23) लेकर गुणा करें। / \(S_{46}=\frac{46\cdot47}{2}=1081\). Take half of (46) as (23) and multiply.
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Which is the sum of the first (44) natural numbers?
C. (990)
\(S_{44}=\frac{44\cdot45}{2}=990\)। (44) को आधा करके \(22\cdot45\) करें। / \(S_{44}=\frac{44\cdot45}{2}=990\). Halve (44) and calculate \(22\cdot45\).
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What is the value of \(1+2+3+\cdots+43\)?
C. (946)
\(S_{43}=\frac{43\cdot44}{2}=946\)। (44) का आधा (22) लेकर \(43\cdot22\) करें। / \(S_{43}=\frac{43\cdot44}{2}=946\). Take half of (44) as (22) and calculate \(43\cdot22\).
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How much is the sum of the first (42) natural numbers?
C. (903)
\(S_{42}=\frac{42\cdot43}{2}=903\)। (42) का आधा (21) करके गुणा करें। / \(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) to (21) and multiply.
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What will be the sum of the first (41) natural numbers?
C. (861)
\(S_{41}=\frac{41\cdot42}{2}=861\)। (42) को (2) से भाग देकर \(21\cdot41\) करें। / \(S_{41}=\frac{41\cdot42}{2}=861\). Divide (42) by (2) and calculate \(21\cdot41\).
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Find the sum of the first (39) natural numbers.
C. (780)
\(S_{39}=\frac{39\cdot40}{2}=780\)। (40) का आधा (20) लेकर \(39\cdot20\) करें। / \(S_{39}=\frac{39\cdot40}{2}=780\). Take half of (40) as (20) and calculate \(39\cdot20\).
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What is the sum of \(1+2+3+\cdots+38\)?
A. (741)
\(S_{38}=\frac{38\cdot39}{2}=741\)। पहले (38) को (2) से भाग दें। / \(S_{38}=\frac{38\cdot39}{2}=741\). Divide (38) by (2) first.
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How much is the sum of the first (37) natural numbers?
B. (703)
\(S_{37}=\frac{37\cdot38}{2}=703\)। (38) का आधा (19) करके गुणा करें। / \(S_{37}=\frac{37\cdot38}{2}=703\). Halve (38) to (19) and multiply.
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Which is the sum of the first (34) natural numbers?
C. (595)
\(S_{34}=\frac{34\cdot35}{2}=595\)। (34) का आधा (17) लेकर \(17\cdot35\) करें। / \(S_{34}=\frac{34\cdot35}{2}=595\). Take half of (34) as (17) and calculate \(17\cdot35\).
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What will be the value of \(1+2+3+\cdots+33\)?
C. (561)
\(S_{33}=\frac{33\cdot34}{2}=561\)। लंबे जोड़ में सूत्र सबसे तेज तरीका है। / \(S_{33}=\frac{33\cdot34}{2}=561\). The formula is the quickest method for long addition.
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Find the sum of the first (31) natural numbers.
B. (496)
\(S_{31}=\frac{31\cdot32}{2}=496\)। सम संख्या को आधा करके गुणा करें। / \(S_{31}=\frac{31\cdot32}{2}=496\). Halve the even number and multiply.
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What is the sum of the first (29) natural numbers?
B. (435)
\(S_{29}=\frac{29\cdot30}{2}=435\)। पहले (30) को (2) से भाग दें। / \(S_{29}=\frac{29\cdot30}{2}=435\). Divide (30) by (2) first.
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In a school, badge numbers from (1) to (38) are given. What will be the sum of all badge numbers?
B. (741)
सभी बैज नंबरों का योग \(S_{38}=\frac{38\times39}{2}=741\) है। लगातार (1) से शुरू होने पर अंतिम संख्या को (n) मानें। / The sum of all badge numbers is \(S_{38}=\frac{38\times39}{2}=741\). When counting starts from (1), take the last number as (n).
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If the sum of the first (n) natural numbers is (861), what is the value of (n)?
C. (41)
\(S_{41}=\frac{41\times42}{2}=861\) इसलिए (n=41)। ऐसे प्रश्नों में विकल्पों को सूत्र में रखकर जांचें। / \(S_{41}=\frac{41\times42}{2}=861\), so (n=41). In such questions, check the options in the formula.
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Choose the correct sum of \(1+2+3+\cdots+42\).
A. (903)
\(S_{42}=\frac{42\times43}{2}=903\) होता है। सम (n) को (2) से भाग देकर गणना आसान करें। / \(S_{42}=\frac{42\times43}{2}=903\). Divide the even (n) by (2) to make calculation easier.
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What is the sum of the first (37) natural numbers?
B. (703)
\(S_{37}=\frac{37\times38}{2}=703\) है। विषम (n) में अगले सम गुणक को आधा करें। / \(S_{37}=\frac{37\times38}{2}=703\). For odd (n), halve the next even factor.
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What is the sum of the first (100) natural numbers?
B. (5050)
\(S_{100}=\frac{100\times101}{2}=5050\) है। (100) तक के योग का मान याद रखना भी उपयोगी है। / \(S_{100}=\frac{100\times101}{2}=5050\). Remembering the sum up to (100) is also useful.
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If \(S_n=465\), what is the value of (n) for the first (n) natural numbers?
C. (30)
\(S_{30}=\frac{30\times31}{2}=465\) इसलिए (n=30)। विकल्पों को सूत्र में रखकर जल्दी उत्तर मिल सकता है। / \(S_{30}=\frac{30\times31}{2}=465\), so (n=30). Substituting options in the formula can give a quick answer.
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C. (171)
कुल सितारे \(S_{18}=\frac{18\times19}{2}=171\) हैं। पंक्ति संख्या बढ़ने पर प्राकृतिक संख्याओं का योग बनता है। / Total stars are \(S_{18}=\frac{18\times19}{2}=171\). Increasing row counts form the sum of natural numbers.
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Choose the correct option for the sum of the first (33) natural numbers.
B. (561)
\(S_{33}=\frac{33\times34}{2}=561\) है। (34) का आधा (17) लेकर गुणा करें। / \(S_{33}=\frac{33\times34}{2}=561\). Take half of (34) as (17) and multiply.
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What is the value of \(1+2+3+\cdots+27\)?
C. (378)
\(S_{27}=\frac{27\times28}{2}=378\) है। (28) को पहले (14) में बदलें। / \(S_{27}=\frac{27\times28}{2}=378\). Change (28) to (14) first.
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If the sum of the first (n) natural numbers is (325), what will (n) be?
C. (25)
\(S_{25}=\frac{25\times26}{2}=325\) इसलिए (n=25)। दिए गए योग को सूत्र से मिलाकर देखें। / \(S_{25}=\frac{25\times26}{2}=325\), so (n=25). Match the given sum with the formula.
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