recursive_rule se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
619 questions tagged with recursive_rule.
If \(a_1=3\) and \(a_{n+1}=a_n+2n+1\), what is \(a_5\)?
C. (27)
पद (3,6,11,18,27) मिलते हैं इसलिए \(a_5=27\) है। बदलते (n) का मान हर चरण में सही रखें। / The terms are (3,6,11,18,27), so \(a_5=27\). Exam tip: use the changing value of (n) correctly at each step.
Login to save your score, XP, coins and progress.
If \(a_1=10\) and \(a_{n+1}=a_n+n+2\), what is \(a_3\)?
C. (17)
पद (10,13,17) हैं इसलिए \(a_3=17\) है। (n+2) हर चरण में बदलता है। / The terms are (10,13,17), so \(a_3=17\). Exam tip: (n+2) changes at each step.
Login to save your score, XP, coins and progress.
If \(a_1=10\) and \(a_{n+1}=a_n+n+2\), what is \(a_4\)?
B. (21)
पद (10,13,17,22) नहीं बल्कि \(a_4=22\) है। दिए गए विकल्पों में सही मान नहीं है। / The terms are (10,13,17,22), so \(a_4=22\). None of the listed options is correct.
Login to save your score, XP, coins and progress.
If \(a_1=2\), \(a_2=6\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?
C. (36)
पद (2,6,8,14,22,36) हैं इसलिए \(a_6=36\) है। पिछले दो पदों को सही क्रम में जोड़ें। / The terms are (2,6,8,14,22,36), so \(a_6=36\). Exam tip: add the previous two terms in the correct order.
Login to save your score, XP, coins and progress.
If \(a_1=128\) and \(a_{n+1}=\frac{a_n}{4}\), what is \(a_3\)?
C. (8)
पद (128,32,8) हैं इसलिए \(a_3=8\) है। हर बार पिछले पद को (4) से भाग दें। / The terms are (128,32,8), so \(a_3=8\). Exam tip: divide the previous term by (4) each time.
Login to save your score, XP, coins and progress.
If \(a_1=7\) and \(a_{n+1}=a_n+12\), what is the value of \(a_4\)?
C. (43)
पद (7,19,31,43) हैं इसलिए \(a_4=43\) है। समान जोड़ को हर चरण में दोहराएँ। / The terms are (7,19,31,43), so \(a_4=43\). Exam tip: repeat the constant addition at every step.
Login to save your score, XP, coins and progress.
If \(a_1=18\) and \(a_{n+1}=a_n+8\), what is \(a_3\)?
B. (34)
पद (18,26,34) हैं इसलिए \(a_3=34\) है। दो बार (8) जोड़ना है। / The terms are (18,26,34), so \(a_3=34\). Exam tip: add (8) twice.
Login to save your score, XP, coins and progress.
In the sequence \(4,24,144,864,\ldots\), what is the multiplier in the recursive rule?
C. (6)
हर अगला पद पिछले पद का (6) गुना है। इसलिए गुणक (6) है। / Each next term is (6) times the previous term. Therefore the multiplier is (6).
Login to save your score, XP, coins and progress.
For the sequence \(55,44,33,22,\ldots\), what is subtracted in the recursive rule?
C. (11)
हर अगला पद पिछले से (11) कम है। इसलिए \(a_{n+1}=a_n-11\) होगा। / Each next term is (11) less than the previous term. So \(a_{n+1}=a_n-11\).
Login to save your score, XP, coins and progress.
For the sequence \(9,18,27,36,\ldots\), \(a_1=9\). What is added in the recursive rule?
B. (9)
हर अगला पद पिछले से (9) अधिक है। इसलिए नियम \(a_{n+1}=a_n+9\) होगा। / Each next term is (9) more than the previous term. So the rule is \(a_{n+1}=a_n+9\).
Login to save your score, XP, coins and progress.
According to the recursive rule in the sequence \(80,40,20,10,\ldots\), what will be the next term?
B. (5)
हर बार पद आधा हो रहा है इसलिए अगला पद (5) है। पिछले पद को (2) से भाग दें। / Each term is being halved, so the next term is (5). Exam tip: divide the previous term by (2).
Login to save your score, XP, coins and progress.
According to the recursive rule in the sequence \(11,16,21,26,\ldots\), what is the next term?
C. (31)
हर बार (5) जोड़ा गया है इसलिए अगला पद (26+5=31) है। अंतर देखकर अगला पद निकालें। / (5) is added each time, so the next term is (26+5=31). Exam tip: use the difference to find the next term.
Login to save your score, XP, coins and progress.
If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?
C. (31)
पद (2,9,11,20,31) हैं इसलिए \(a_5=31\) है। पिछले दो पदों को जोड़ते समय क्रमांक लिखें। / The terms are (2,9,11,20,31), so \(a_5=31\). Exam tip: write positions while adding previous two terms.
Login to save your score, XP, coins and progress.
If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?
D. (62)
पद (2,9,11,20,31,51) नहीं बल्कि \(a_6=51\) है। सही उत्तर (51) होता है। / The terms are (2,9,11,20,31,51), so \(a_6=51\). The correct value is (51).
Login to save your score, XP, coins and progress.
If \(a_1=1\), \(a_2=4\), and \(a_n=2a_{n-1}\), what is \(a_5\)?
C. (32)
पद (1,4,8,16,32) हैं इसलिए \(a_5=32\) है। दूसरे पद के बाद पिछले पद को (2) से गुणा करें। / The terms are (1,4,8,16,32), so \(a_5=32\). Exam tip: after the second term multiply the previous term by (2).
Login to save your score, XP, coins and progress.
If \(a_1=6\), \(a_2=10\), and \(a_n=a_{n-1}+4\), what is \(a_5\)?
C. (22)
पद (6,10,14,18,22) हैं इसलिए \(a_5=22\) है। \(a_n\) पिछले पद से (4) अधिक है। / The terms are (6,10,14,18,22), so \(a_5=22\). Exam tip: \(a_n\) is (4) more than the previous term.
Login to save your score, XP, coins and progress.
If \(a_1=40\) and (a_{n+1}=a_n-(n+3)), what is \(a_3\)?
B. (31)
पद (40,36,31) हैं इसलिए \(a_3=31\) है। प्रत्येक चरण में (n+3) सही निकालें। / The terms are (40,36,31), so \(a_3=31\). Exam tip: calculate (n+3) correctly at each step.
Login to save your score, XP, coins and progress.
If \(a_1=1\) and \(a_{n+1}=a_n+5n\), what is \(a_4\)?
C. (31)
पद (1,6,16,31) हैं इसलिए \(a_4=31\) है। (5n) का मान हर चरण में बदलता है। / The terms are (1,6,16,31), so \(a_4=31\). Exam tip: (5n) changes at every step.
Login to save your score, XP, coins and progress.
If \(a_1=50\) and \(a_{n+1}=\frac{a_n}{2}+3\), what is \(a_2\)?
C. (28)
\(a_2=\frac{50}{2}+3=28\) है। पहले आधा करें फिर (3) जोड़ें। / \(a_2=\frac{50}{2}+3=28\). Exam tip: halve first and then add (3).
Login to save your score, XP, coins and progress.
If \(a_1=5\) and \(a_{n+1}=3a_n+2\), what is \(a_2\)?
B. (17)
\(a_2=3\times5+2=17\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ। / \(a_2=3\times5+2=17\). Exam tip: apply the rule directly to \(a_1\) for the next term.
Login to save your score, XP, coins and progress.
If \(a_1=2\) and \(a_{n+1}=6a_n\), what is \(a_3\)?
D. (72)
पद (2,12,72) हैं इसलिए \(a_3=72\) है। पिछले पद को (6) से गुणा करें। / The terms are (2,12,72), so \(a_3=72\). Exam tip: multiply the previous term by (6).
Login to save your score, XP, coins and progress.
If \(a_1=16\) and \(a_{n+1}=a_n+9\), what is \(a_4\)?
C. (43)
पद (16,25,34,43) हैं इसलिए \(a_4=43\) है। हर बार (9) जोड़ें। / The terms are (16,25,34,43), so \(a_4=43\). Exam tip: add (9) each time.
Login to save your score, XP, coins and progress.
If \(a_1=90\) and \(a_{n+1}=a_n-30\), what is \(a_3\)?
B. (30)
पद (90,60,30) हैं इसलिए \(a_3=30\) है। बड़े घटाव में भी चरण न छोड़ें। / The terms are (90,60,30), so \(a_3=30\). Exam tip: do not skip steps even with large subtraction.
Login to save your score, XP, coins and progress.
If \(a_1=3\) and \(a_{n+1}=a_n^2+1\), what is \(a_2\)?
C. (10)
\(a_2=3^2+1=10\) है। पहले वर्ग करें फिर (1) जोड़ें। / \(a_2=3^2+1=10\). Exam tip: square first and then add (1).
Login to save your score, XP, coins and progress.
If \(a_1=4\) and \(a_{n+1}=a_n^2\), what is \(a_2\)?
C. (16)
\(a_2=4^2=16\) है। वर्ग वाले नियम में पिछले पद का वर्ग लें। / \(a_2=4^2=16\). Exam tip: square the previous term in square rules.
Login to save your score, XP, coins and progress.
If \(a_1=8\) and \(a_{n+1}=a_n+5\), what is \(a_2+a_4\)?
B. (36)
पद (8,13,18,23) हैं और \(a_2+a_4=13+23=36\) है। योग से पहले जरूरी पद निकालें। / The terms are (8,13,18,23), and \(a_2+a_4=13+23=36\). Exam tip: find the needed terms before adding.
Login to save your score, XP, coins and progress.
If \(a_1=4\) and \(a_{n+1}=a_n+6\), what is the value of \(a_5-a_2\)?
B. (18)
पद (4,10,16,22,28) हैं इसलिए \(a_5-a_2=28-10=18\) है। पहले दोनों पद निकालें। / The terms are (4,10,16,22,28), so \(a_5-a_2=28-10=18\). Exam tip: find both terms first.
Login to save your score, XP, coins and progress.
If \(a_1=100\) and \(a_{n+1}=a_n-25\), what is \(a_4\)?
B. (25)
पद (100,75,50,25) हैं इसलिए \(a_4=25\) है। हर बार (25) घटाएँ। / The terms are (100,75,50,25), so \(a_4=25\). Exam tip: subtract (25) each time.
Login to save your score, XP, coins and progress.
If \(a_1=20\) and \(a_{n+1}=a_n+1\), what is \(a_4\)?
C. (23)
पद (20,21,22,23) हैं इसलिए \(a_4=23\) है। छोटे जोड़ में भी क्रमांक सावधानी से गिनें। / The terms are (20,21,22,23), so \(a_4=23\). Exam tip: count positions carefully even in small additions.
Login to save your score, XP, coins and progress.
Which recursive rule matches the sequence \(72,24,8,\ldots\)?
C. \(a_1=72, a_{n+1}=\frac{a_n}{3}\)
पहला पद (72) है और हर बार (3) से भाग दिया गया है। पहला पद और क्रिया दोनों सही देखें। / The first term is (72), and each term is divided by (3). Exam tip: check both the first term and operation.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.