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.
An exam asked the value of \(1+2+3+\cdots+95\). What is the correct answer?
C. (4560)
\(S_{95}=\frac{95\cdot96}{2}=4560\)। परीक्षा में बड़े योग के लिए सूत्र तुरंत लगाएं। / \(S_{95}=\frac{95\cdot96}{2}=4560\). In exams, apply the formula quickly for large sums.
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If \(S_n=4560\), what is the correct value of (n)?
C. (95)
\(\frac{95\cdot96}{2}=4560\), इसलिए (n=95)। सूत्र में विकल्प रखकर उत्तर जांचें। / \(\frac{95\cdot96}{2}=4560\), so (n=95). Check the answer by substituting options in the formula.
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What will be the sum of the first (95) natural numbers?
C. (4560)
\(S_{95}=\frac{95\cdot96}{2}=4560\)। (96) का आधा (48) लेकर \(95\cdot48\) करें। / \(S_{95}=\frac{95\cdot96}{2}=4560\). Take half of (96) as (48) and calculate \(95\cdot48\).
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If \(S_n=3655\), what will (n) be?
C. (85)
\(\frac{85\cdot86}{2}=3655\), इसलिए (n=85)। सही (n) पाने के लिए सूत्र का उपयोग करें। / \(\frac{85\cdot86}{2}=3655\), so (n=85). Use the formula to get the correct (n).
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If \(S_n=2628\), what is the value of (n)?
C. (72)
\(\frac{72\cdot73}{2}=2628\), इसलिए (n=72)। विकल्पों को सूत्र में रखकर मिलान करें। / \(\frac{72\cdot73}{2}=2628\), so (n=72). Match the options by putting them in the formula.
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How much is the sum of the first (85) natural numbers?
C. (3655)
\(S_{85}=\frac{85\cdot86}{2}=3655\)। (86) का आधा (43) लेकर \(85\cdot43\) करें। / \(S_{85}=\frac{85\cdot86}{2}=3655\). Take half of (86) as (43) and calculate \(85\cdot43\).
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Find the sum of the first (72) natural numbers.
C. (2628)
\(S_{72}=\frac{72\cdot73}{2}=2628\)। (72) का आधा (36) लेकर \(36\cdot73\) करें। / \(S_{72}=\frac{72\cdot73}{2}=2628\). Take half of (72) as (36) and calculate \(36\cdot73\).
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In a question, natural numbers from (1) to (80) are to be added. What is the correct sum?
C. (3240)
(1) से (80) तक का योग \(S_{80}=3240\) है। अंतिम संख्या (80) को (n) मानें। / The sum from (1) to (80) is \(S_{80}=3240\). Take the last number (80) as (n).
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A workbook asks \(1+2+3+\cdots+70\). What is the answer?
C. (2485)
\(S_{70}=\frac{70\cdot71}{2}=2485\)। सूत्र से बड़ा जोड़ जल्दी हल होता है। / \(S_{70}=\frac{70\cdot71}{2}=2485\). The formula solves large sums quickly.
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What will be the total sum of numbers from (1) to (65)?
C. (2145)
\(S_{65}=\frac{65\cdot66}{2}=2145\)। (66) का आधा (33) लेकर गुणा करें। / \(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and multiply.
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A table contains numbers from (1) to (58). What is their sum?
C. (1711)
\(S_{58}=\frac{58\cdot59}{2}=1711\)। (1) से शुरू होने वाली सूची में प्राकृतिक संख्या योग सूत्र लगाएं। / \(S_{58}=\frac{58\cdot59}{2}=1711\). For a list starting from (1), use the natural-number sum formula.
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A child found the sum of natural numbers from (1) to (54). What is the correct sum?
C. (1485)
(1) से (54) तक का योग \(S_{54}=1485\) है। अंतिम संख्या को (n) मानकर सूत्र लगाएं। / The sum from (1) to (54) is \(S_{54}=1485\). Take the last number as (n) and apply the formula.
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If \(S_n=4095\), what is the correct value of (n)?
C. (90)
\(\frac{90\cdot91}{2}=4095\), इसलिए (n=90)। उत्तर को सूत्र से एक बार जरूर जांचें। / \(\frac{90\cdot91}{2}=4095\), so (n=90). Check the answer once with the formula.
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If \(S_n=3240\), how much is (n)?
C. (80)
\(\frac{80\cdot81}{2}=3240\), इसलिए (n=80)। ऐसे प्रश्नों में विकल्प जांचना सरल रहता है। / \(\frac{80\cdot81}{2}=3240\), so (n=80). In such questions, checking options is simple.
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If the sum of the first (n) natural numbers is (2145), what is (n)?
C. (65)
\(\frac{65\cdot66}{2}=2145\), इसलिए (n=65)। सही विकल्प को सूत्र से सत्यापित करें। / \(\frac{65\cdot66}{2}=2145\), so (n=65). Verify the correct option using the formula.
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If \(S_n=1485\), what is the value of (n)?
C. (54)
\(\frac{54\cdot55}{2}=1485\), इसलिए (n=54)। विकल्पों को सूत्र में रखकर मिलाएं। / \(\frac{54\cdot55}{2}=1485\), so (n=54). Match the options by putting them in the formula.
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How much is the sum of the first (90) natural numbers?
C. (4095)
\(S_{90}=\frac{90\cdot91}{2}=4095\)। (90) को आधा करके \(45\cdot91\) करें। / \(S_{90}=\frac{90\cdot91}{2}=4095\). Halve (90) and calculate \(45\cdot91\).
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What is the value of \(1+2+3+\cdots+80\)?
C. (3240)
\(S_{80}=\frac{80\cdot81}{2}=3240\)। (80) का आधा (40) लेकर \(40\cdot81\) करें। / \(S_{80}=\frac{80\cdot81}{2}=3240\). Take half of (80) as (40) and calculate \(40\cdot81\).
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Which is the sum of the first (70) natural numbers?
C. (2485)
\(S_{70}=\frac{70\cdot71}{2}=2485\)। (70) का आधा (35) लेकर गुणा करें। / \(S_{70}=\frac{70\cdot71}{2}=2485\). Take half of (70) as (35) and multiply.
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What will be the sum of the first (65) natural numbers?
C. (2145)
\(S_{65}=\frac{65\cdot66}{2}=2145\)। (66) का आधा (33) लेकर \(65\cdot33\) करें। / \(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and calculate \(65\cdot33\).
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How much is the sum of the first (58) natural numbers?
C. (1711)
\(S_{58}=\frac{58\cdot59}{2}=1711\)। (58) को (2) से भाग देकर \(29\cdot59\) करें। / \(S_{58}=\frac{58\cdot59}{2}=1711\). Divide (58) by (2) and calculate \(29\cdot59\).
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Find the sum of the first (54) natural numbers.
C. (1485)
\(S_{54}=\frac{54\cdot55}{2}=1485\)। (54) का आधा (27) लेकर \(27\cdot55\) करें। / \(S_{54}=\frac{54\cdot55}{2}=1485\). Take half of (54) as (27) and calculate \(27\cdot55\).
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In an exercise, \(1+2+3+\cdots+46\) is to be found. What is the correct value?
C. (1081)
\(S_{46}=\frac{46\cdot47}{2}=1081\)। जोड़ लंबा हो तो सूत्र उपयोग करें। / \(S_{46}=\frac{46\cdot47}{2}=1081\). If the addition is long, use the formula.
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What is the sum of natural numbers from (1) to (42)?
C. (903)
\(S_{42}=\frac{42\cdot43}{2}=903\)। (42) को आधा करके \(21\cdot43\) करें। / \(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) and calculate \(21\cdot43\).
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A student added all numbers from (1) to (37). What will be the result?
C. (703)
(1) से (37) तक का योग \(\frac{37\cdot38}{2}=703\) है। (38) को आधा करना आसान है। / The sum from (1) to (37) is \(\frac{37\cdot38}{2}=703\). Halving (38) is easy.
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A list has numbers from (1) to (33). What is their sum?
C. (561)
सूत्र से \(S_{33}=\frac{33\cdot34}{2}=561\)। सूची (1) से शुरू हो तो सीधे प्राकृतिक संख्या का योग लगाएं। / By the formula, \(S_{33}=\frac{33\cdot34}{2}=561\). If the list starts from (1), use the natural-number sum directly.
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In class, numbers from (1) to (31) were written and their sum was asked. What is the correct answer?
B. (496)
\(S_{31}=\frac{31\cdot32}{2}=496\)। अंतिम संख्या (31) को (n) मानें। / \(S_{31}=\frac{31\cdot32}{2}=496\). Take the last number (31) as (n).
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A student added natural numbers from (1) to (29). What sum will be obtained?
C. (435)
(1) से (29) तक का योग \(S_{29}=435\) है। अंतिम संख्या ही (n) होती है। / The sum from (1) to (29) is \(S_{29}=435\). The last number is (n).
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If \(S_n=1225\), what will be the value of (n)?
C. (49)
\(\frac{49\cdot50}{2}=1225\), इसलिए (n=49)। सूत्र में विकल्प रखने से उत्तर जल्दी मिलता है। / \(\frac{49\cdot50}{2}=1225\), so (n=49). Substituting options in the formula gives the answer quickly.
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If \(S_n=1128\), what will (n) be?
C. (47)
\(\frac{47\cdot48}{2}=1128\), इसलिए (n=47)। (n) खोजने के लिए विकल्पों की जांच आसान है। / \(\frac{47\cdot48}{2}=1128\), so (n=47). Checking options is easy for finding (n).
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