Level 49 • 50/50 questions • 40 seconds per question.
Login to save your score, XP, coins and progress.
If \(a_1=9\) and \(a_{n+1}=a_n+2\), what is \(a_4\)?
B. (15)
पद (9,11,13,15) हैं इसलिए \(a_4=15\) है। हर चरण में (2) जोड़ें। / The terms are (9,11,13,15), so \(a_4=15\). Exam tip: add (2) at each step.
Login to save your score, XP, coins and progress.
If \(a_1=28\) and \(a_{n+1}=a_n-4\), what is \(a_5\)?
C. (12)
पद (28,24,20,16,12) हैं इसलिए \(a_5=12\) है। घटाव वाले नियम में हर बार पिछले पद से घटाएँ। / The terms are (28,24,20,16,12), so \(a_5=12\). Exam tip: subtract from the previous term each time.
Login to save your score, XP, coins and progress.
If \(a_1=6\) and \(a_{n+1}=2a_n\), what is the value of \(a_4\)?
C. (48)
पद (6,12,24,48) हैं इसलिए \(a_4=48\) है। गुणा वाले नियम में पिछले पद को ही दोगुना करें। / The terms are (6,12,24,48), so \(a_4=48\). Exam tip: double only the previous term.
Login to save your score, XP, coins and progress.
If \(a_1=96\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?
B. (12)
पद (96,48,24,12) हैं इसलिए \(a_4=12\) है। भाग वाले नियम में हर बार नया पद आधा करें। / The terms are (96,48,24,12), so \(a_4=12\). Exam tip: halve the newest term each time.
Login to save your score, XP, coins and progress.
If \(a_1=4\) and \(a_{n+1}=a_n+n\), what is \(a_5\)?
C. (14)
पद (4,5,7,10,14) हैं इसलिए \(a_5=14\) है। (n) का मान हर चरण में बदलता है। / The terms are (4,5,7,10,14), so \(a_5=14\). Exam tip: the value of (n) changes at every step.
Login to save your score, XP, coins and progress.
If \(a_1=22\) and \(a_{n+1}=a_n-n\), what is \(a_4\)?
B. (16)
पद (22,21,19,16) हैं इसलिए \(a_4=16\) है। (n) को (1,2,3) के क्रम में घटाएँ। / The terms are (22,21,19,16), so \(a_4=16\). Exam tip: subtract (n) in the order (1,2,3).
Login to save your score, XP, coins and progress.
If \(a_1=5\) and \(a_{n+1}=a_n+3n\), what is \(a_4\)?
D. (23)
पद (5,8,14,23) हैं इसलिए \(a_4=23\) है। पहले (3n) निकालें फिर जोड़ें। / The terms are (5,8,14,23), so \(a_4=23\). Exam tip: find (3n) first and then add.
Login to save your score, XP, coins and progress.
If \(a_1=8\) and (a_{n+1}=a_n+(2n-1)), what is \(a_4\)?
C. (17)
पद (8,9,12,17) हैं इसलिए \(a_4=17\) है। (2n-1) से विषम संख्याएँ जुड़ती हैं। / The terms are (8,9,12,17), so \(a_4=17\). Exam tip: (2n-1) adds odd numbers.
Login to save your score, XP, coins and progress.
If \(a_1=3\) and \(a_{n+1}=4a_n\), what is \(a_3\)?
C. (48)
पद (3,12,48) हैं इसलिए \(a_3=48\) है। पिछले पद को (4) से गुणा करें। / The terms are (3,12,48), so \(a_3=48\). Exam tip: multiply the previous term by (4).
Login to save your score, XP, coins and progress.
If \(a_1=3\) and \(a_{n+1}=2a_n+1\), what is \(a_3\)?
C. (15)
पद (3,7,15) हैं इसलिए \(a_3=15\) है। पहले दोगुना करें फिर (1) जोड़ें। / The terms are (3,7,15), so \(a_3=15\). Exam tip: double first and then add (1).
Login to save your score, XP, coins and progress.
If \(a_1=7\) and \(a_{n+1}=2a_n-3\), what is the value of \(a_3\)?
B. (19)
पद (7,11,19) हैं इसलिए \(a_3=19\) है। गुणा के बाद (3) घटाएँ। / The terms are (7,11,19), so \(a_3=19\). Exam tip: subtract (3) after multiplication.
Login to save your score, XP, coins and progress.
If \(a_1=2\) and \(a_{n+1}=a_n+7\), what is \(a_5\)?
B. (30)
पद (2,9,16,23,30) हैं इसलिए \(a_5=30\) है। समान जोड़ में क्रमांक सावधानी से गिनें। / The terms are (2,9,16,23,30), so \(a_5=30\). Exam tip: count positions carefully in constant addition.
Login to save your score, XP, coins and progress.
If \(a_1=60\) and \(a_{n+1}=a_n-6\), what is \(a_6\)?
B. (30)
पद (60,54,48,42,36,30) हैं इसलिए \(a_6=30\) है। हर बार (6) घटाएँ। / The terms are (60,54,48,42,36,30), so \(a_6=30\). Exam tip: subtract (6) each time.
Login to save your score, XP, coins and progress.
If \(a_1=4\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?
D. (29)
पद (4,7,11,18,29) हैं इसलिए \(a_5=29\) है। पिछले दो पदों को जोड़कर नया पद बनता है। / The terms are (4,7,11,18,29), so \(a_5=29\). Exam tip: add the previous two terms to get the new term.
Login to save your score, XP, coins and progress.
If \(a_1=3\), \(a_2=8\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_4\)?
C. (19)
पद (3,8,11,19) हैं इसलिए \(a_4=19\) है। पिछले दो पदों की सही जोड़ी जोड़ें। / The terms are (3,8,11,19), so \(a_4=19\). Exam tip: add the correct pair of previous terms.
Login to save your score, XP, coins and progress.
If \(a_1=45\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?
B. (5)
पद (45,15,5) हैं इसलिए \(a_3=5\) है। हर बार पिछले पद को (3) से भाग दें। / The terms are (45,15,5), so \(a_3=5\). Exam tip: divide the previous term by (3) each time.
Login to save your score, XP, coins and progress.
If \(a_1=5\) and \(a_{n+1}=a_n+4\), which term is (21)?
C. (5)वाँ(5)th
पद (5,9,13,17,21) हैं इसलिए (21) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें। / The terms are (5,9,13,17,21), so (21) is the fifth term. Exam tip: write terms with their positions.
Login to save your score, XP, coins and progress.
If \(a_1=10\) and \(a_{n+1}=a_n+5\), which term is (30)?
B. (5)वाँ(5)th
पद (10,15,20,25,30) हैं इसलिए (30) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें। / The terms are (10,15,20,25,30), so (30) is the fifth term. Exam tip: count step by step in constant growth.
Login to save your score, XP, coins and progress.
Which recursive rule is correct for the sequence \(12,15,18,21,\ldots\)?
A. \(a_1=12, a_{n+1}=a_n+3\)
पहला पद (12) है और हर बार (3) जुड़ता है। नियम में पहला पद और जोड़ दोनों सही होने चाहिए। / The first term is (12), and (3) is added each time. Exam tip: both the first term and addition must be correct.
Login to save your score, XP, coins and progress.
Which recursive rule is correct for the sequence \(36,31,26,21,\ldots\)?
C. \(a_1=36, a_{n+1}=a_n-5\)
पहला पद (36) है और हर बार (5) घटता है। घटते अनुक्रम में (-) चिह्न देखें। / The first term is (36), and (5) is subtracted each time. Exam tip: watch the (-) sign in decreasing sequences.
Login to save your score, XP, coins and progress.
What is the recursive rule for the sequence \(3,15,75,375,\ldots\)?
C. \(a_1=3, a_{n+1}=5a_n\)
पहला पद (3) है और हर पद पिछले का (5) गुना है। गुणा नियम पहचानने के लिए अनुपात देखें। / The first term is (3), and each term is (5) times the previous one. Exam tip: check the ratio to identify multiplication rules.
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.
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.
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 \(a_1=4\) 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 \(a_1=8\) 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 \(a_{n+1}=a_n^2\), 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 \(a_1=3\) 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 \(a_1=90\) 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 \(a_1=16\) 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 \(a_1=2\) 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 \(a_1=5\) 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 \(a_1=50\) 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 \(a_1=1\) 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 \(a_1=40\) 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 \(a_1=6\), \(a_2=10\), 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 \(a_1=1\), \(a_2=4\), 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 \(a_1=2\), \(a_2=9\), 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 \(a_1=2\), \(a_2=9\), 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.
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.
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.
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.
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.
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.
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.
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 \(a_1=128\) 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 \(a_1=2\), \(a_2=6\), 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 \(a_1=10\) 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 \(a_1=10\) 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.
This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.
Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.
Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.
Use Google login or mobile OTP. Admin can block users and control login providers.