Level 43 • 50/50 questions • 30 seconds per question.
Login to save your score, XP, coins and progress.
What will be the (16)th term of \(8,14,20,26,\ldots\)?
C. (98)
पहला पद (8) और समान अंतर (6) है। (16)वाँ पद \(8+15\times6=98\) है। / The first term is (8) and the common difference is (6). The (16)th term is \(8+15\times6=98\).
Login to save your score, XP, coins and progress.
What is the (11)th term of \(160,148,136,124,\ldots\)?
C. (40)
हर बार (12) घट रहा है। (11)वाँ पद \(160-10\times12=40\) है। / Each term decreases by (12). The (11)th term is \(160-10\times12=40\).
Login to save your score, XP, coins and progress.
If \(a_n=4n^2-3n\), what will be the value of \(a_7\)?
B. (175)
(n=7) रखने पर (a_7=4\(7^2\)-3(7)=175) है। पहले वर्ग निकालें फिर गुणा और घटाव करें। / Putting (n=7), (a_7=4\(7^2\)-3(7)=175). Square first, then multiply and subtract.
Login to save your score, XP, coins and progress.
If \(a_n=n^3-2n\), what is \(a_5\)?
C. (115)
(n=5) रखने पर (a_5=53-2(5)=115) है। घन और गुणा दोनों सावधानी से करें। / Putting (n=5), (a_5=53-2(5)=115). Handle the cube and multiplication carefully.
Login to save your score, XP, coins and progress.
What is the missing value in \(9,18,27,\Box,45\)?
C. (36)
हर बार (9) जोड़ा जा रहा है। (27+9=36) इसलिए खाली स्थान (36) है। / Each term increases by (9). Since (27+9=36), the missing value is (36).
Login to save your score, XP, coins and progress.
Which value fills the blank in \(180,\Box,152,138,124\)?
C. (166)
क्रम में हर बार (14) घट रहा है। (180-14=166) होगा। / The sequence decreases by (14) each time. (180-14=166).
Login to save your score, XP, coins and progress.
What is the next term of \(5,12,22,35,51,\ldots\)?
B. (70)
अंतर (7,10,13,16) हैं और वे (3) से बढ़ रहे हैं। अगला अंतर (19) होगा इसलिए (51+19=70)। / The differences are (7,10,13,16), increasing by (3). The next difference is (19), so (51+19=70).
Login to save your score, XP, coins and progress.
What will be the next term of \(250,245,235,220,200,\ldots\)?
A. (175)
घटाव (5,10,15,20) हैं। अगला घटाव (25) होगा इसलिए (200-25=175)। / The subtractions are (5,10,15,20). The next subtraction is (25), so (200-25=175).
Login to save your score, XP, coins and progress.
What is the (6)th term of \(6,24,96,384,\ldots\)?
D. (6144)
हर पद पिछले पद का (4) गुना है। (5)वाँ पद (1536) और (6)ठा पद (6144) है। / Each term is (4) times the previous term. The (5)th term is (1536) and the (6)th term is (6144).
Login to save your score, XP, coins and progress.
What is the next term of \(729,243,81,27,\ldots\)?
C. (9)
हर पद पिछले पद को (3) से भाग देकर मिलता है। \(27\div3=9\) अगला पद है। / Each term is obtained by dividing the previous term by (3). \(27\div3=9\) is the next term.
Login to save your score, XP, coins and progress.
What will be the (8)th term of \(16,25,36,49,64,\ldots\)?
B. (121)
यह \(4^2,5^2,6^2,\ldots\) का क्रम है। (8)वाँ पद \(11^2=121\) होगा। / This is the sequence \(4^2,5^2,6^2,\ldots\). The (8)th term will be \(11^2=121\).
Login to save your score, XP, coins and progress.
What is the (6)th term of \(64,125,216,343,\ldots\)?
B. (729)
यह \(4^3,5^3,6^3,7^3,\ldots\) का क्रम है। (6)ठा पद \(9^3=729\) है। / This is the sequence \(4^3,5^3,6^3,7^3,\ldots\). The (6)th term is \(9^3=729\).
Login to save your score, XP, coins and progress.
What is the (10)th term of \(6,10,15,21,28,\ldots\)?
C. (64)
अंतर \(4,5,6,7,\ldots\) हैं। (10)वें पद तक बढ़ने पर मान (64) मिलता है। / The differences are \(4,5,6,7,\ldots\). Extending to the (10)th term gives (64).
Login to save your score, XP, coins and progress.
C. (62)
यहाँ (14=4+10), (24=10+14) और (38=14+24) है। अगला पद (24+38=62) होगा। / Here (14=4+10), (24=10+14), and (38=14+24). The next term will be (24+38=62).
Login to save your score, XP, coins and progress.
In \(9,27,81,243,\ldots\), which term is (729)?
B. (5)वाँ(5)th
क्रम (9,27,81,243,729) है। इसलिए (729) (5)वाँ पद है। / The sequence is (9,27,81,243,729). So (729) is the (5)th term.
Login to save your score, XP, coins and progress.
In \(15,24,33,42,\ldots\), which term will (105) be?
C. (11)वाँ(11)th
पहला पद (15) और अंतर (9) है। (15+(n-1)9=105) से (n=11) मिलता है। / The first term is (15) and the difference is (9). From (15+(n-1)9=105), (n=11).
Login to save your score, XP, coins and progress.
In \(170,158,146,134,\ldots\), which term is (74)?
C. (9)वाँ(9)th
हर बार (12) घट रहा है। (170-(n-1)12=74) से (n=9) है। / Each term decreases by (12). From (170-(n-1)12=74), (n=9).
Login to save your score, XP, coins and progress.
If the first four terms of a sequence are (9,20,31,42), what can be a simple rule for \(a_n\)?
A. \(a_n=11n-2\)
पहला पद (9) और अंतर (11) है। \(a_n=11n-2\) से वही क्रम मिलता है। / The first term is (9) and the difference is (11). \(a_n=11n-2\) gives the same sequence.
Login to save your score, XP, coins and progress.
Which \(a_n\) rule is correct for \(16,25,34,43,\ldots\)?
A. \(a_n=9n+7\)
पहला पद (16) और अंतर (9) है। \(a_n=9n+7\) से \(16,25,34,\ldots\) मिलते हैं। / The first term is (16) and the difference is (9). \(a_n=9n+7\) gives \(16,25,34,\ldots\).
Login to save your score, XP, coins and progress.
What are the first four terms formed by \(a_n=8n-5\)?
A. (3,11,19,27)
(n=1,2,3,4) रखने पर (3,11,19,27) मिलते हैं। पहले पद के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (3,11,19,27). Start with (n=1) for the first term.
Login to save your score, XP, coins and progress.
What will \(a_6\) be for the rule \(a_n=3n^2+4n\)?
C. (132)
(n=6) रखने पर (a_6=3\(6^2\)+4(6)=132) है। वर्ग और गुणा दोनों सावधानी से करें। / Putting (n=6), (a_6=3\(6^2\)+4(6)=132). Handle both the square and multiplication carefully.
Login to save your score, XP, coins and progress.
What is the (8)th term formed by \(a_n=140-9n\)?
C. (68)
(n=8) रखने पर \(a_8=140-72=68\) है। घटाव वाले नियम में चिन्ह पर ध्यान दें। / Putting (n=8), \(a_8=140-72=68\). Pay attention to the sign in subtraction rules.
Login to save your score, XP, coins and progress.
Which sequence is formed by \(a_n=7n^2\)?
B. (7,28,63,112)
(n=1,2,3,4) रखने पर (7,28,63,112) मिलते हैं। \(n^2\) को (7) से गुणा करें। / Putting (n=1,2,3,4) gives (7,28,63,112). Multiply \(n^2\) by (7).
Login to save your score, XP, coins and progress.
Which sequence shows the first four terms of \(a_n=3^n+n\)?
A. (4,11,30,85)
\(3^1+1=4\), \(3^2+2=11\), \(3^3+3=30\), \(3^4+4=85\)। घात के बाद (n) जोड़ें। / \(3^1+1=4\), \(3^2+2=11\), \(3^3+3=30\), and \(3^4+4=85\). Add (n) after evaluating the power.
Login to save your score, XP, coins and progress.
What is the difference between the (12)th terms of \(7,14,21,28,\ldots\) and \(3,10,17,24,\ldots\)?
B. (4)
दोनों क्रमों का समान अंतर (7) है इसलिए पदों का अंतर हमेशा (4) रहेगा। (12)वें पदों में भी यही अंतर है। / Both sequences have common difference (7), so the term difference always remains (4). The (12)th terms also differ by (4).
Login to save your score, XP, coins and progress.
How are the (9)th term of \(22,30,38,\ldots\) and the (9)th term of \(13,21,29,\ldots\) related?
B. पहला (9) अधिक हैThe first is greater by (9)
दोनों क्रमों का अंतर (8) है और पहले पदों का अंतर (9) है। इसलिए (9)वें पदों का अंतर भी (9) होगा। / Both sequences have difference (8), and their first terms differ by (9). So their (9)th terms also differ by (9).
Login to save your score, XP, coins and progress.
What is the sum of the first (9) terms of \(8,16,24,\ldots\)?
C. (360)
पहले (9) पद (8) से (72) तक हैं। उनका योग (360) है। / The first (9) terms run from (8) to (72). Their sum is (360).
Login to save your score, XP, coins and progress.
What is the sum of the first (6) terms of \(132,121,110,\ldots\)?
B. (627)
पहले (6) पद (132,121,110,99,88,77) हैं। इनका योग (627) है। / The first (6) terms are (132,121,110,99,88,77). Their sum is (627).
Login to save your score, XP, coins and progress.
Which term is (90) in \(10,18,26,34,\ldots\)?
C. (11)वाँ(11)th
पहला पद (10) और अंतर (8) है। (10+(n-1)8=90) से (n=11) मिलता है। / The first term is (10) and the difference is (8). From (10+(n-1)8=90), (n=11).
Login to save your score, XP, coins and progress.
What is the value of \(a_8+a_9\) in \(11,17,23,29,\ldots\)?
C. (106)
\(a_8=53\) और \(a_9=59\) है। इसलिए \(a_8+a_9=112\), अतः विकल्पों में सही मान नहीं है। / \(a_8=53\) and \(a_9=59\). Therefore \(a_8+a_9=112\), so the correct value is not in the options.
Login to save your score, XP, coins and progress.
What is \(a_9-a_4\) in \(24,34,44,54,\ldots\)?
C. (50)
समान अंतर (10) है और स्थानों का अंतर (5) है। इसलिए \(a_9-a_4=5\times10=50\) है। / The common difference is (10), and the gap in positions is (5). Therefore \(a_9-a_4=5\times10=50\).
Login to save your score, XP, coins and progress.
What is the difference between \(a_{10}\) and \(a_5\) in \(20,27,34,41,\ldots\)?
B. (35)
समान अंतर (7) है और स्थानों का अंतर (5) है। इसलिए अंतर \(5\times7=35\) है। / The common difference is (7), and the position gap is (5). So the difference is \(5\times7=35\).
Login to save your score, XP, coins and progress.
If \(a_1=18\) and (9) is added to each next term, what is \(a_{12}\)?
B. (117)
\(a_{12}=18+11\times9=117\) है। (12)वें पद तक पहुँचने के लिए (11) बार अंतर जोड़ा जाता है। / \(a_{12}=18+11\times9=117\). To reach the (12)th term, the difference is added (11) times.
Login to save your score, XP, coins and progress.
If \(a_1=180\) and (13) is subtracted for each next term, what is \(a_{10}\)?
A. (63)
\(a_{10}=180-9\times13=63\) है। (10)वें पद तक (9) बार घटाव होगा। / \(a_{10}=180-9\times13=63\). There are (9) subtractions before the (10)th term.
Login to save your score, XP, coins and progress.
What is the next term in \(5,17,53,161,\ldots\) if the rule is triple the previous term and add (2)?
B. (485)
नियम के अनुसार \(161\times3+2=485\) है। अंतिम पद पर दिया गया नियम लगाएँ। / By the rule, \(161\times3+2=485\). Apply the given rule to the last term.
Login to save your score, XP, coins and progress.
A. (8.125)
\(18.25\div2-1=8.125\) है। पहले भाग दें और फिर (1) घटाएँ। / \(18.25\div2-1=8.125\). Divide first and then subtract (1).
Login to save your score, XP, coins and progress.
What is the next term in \(10,18,34,58,90,\ldots\)?
C. (130)
अंतर (8,16,24,32) हैं। अगला अंतर (40) होगा इसलिए (90+40=130)। / The differences are (8,16,24,32). The next difference is (40), so (90+40=130).
Login to save your score, XP, coins and progress.
What will be the next term in \(360,345,315,270,210,\ldots\)?
C. (135)
घटाव (15,30,45,60) है। अगला घटाव (75) होगा इसलिए (210-75=135)। / The subtractions are (15,30,45,60). The next subtraction is (75), so (210-75=135).
Login to save your score, XP, coins and progress.
What is the next term of \(5,10,30,120,\ldots\)?
C. (600)
यहाँ क्रमशः (2,3,4) से गुणा किया गया है। अगला गुणक (5) होगा इसलिए \(120\times5=600\)। / The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(120\times5=600\).
Login to save your score, XP, coins and progress.
What is the ratio of the (3)rd terms of \(7,42,252,\ldots\) and \(5,30,180,\ldots\)?
B. (7:5)
तीसरे पद (252) और (180) हैं। उनका अनुपात (252:180=7:5) है। / The third terms are (252) and (180). Their ratio is (252:180=7:5).
Login to save your score, XP, coins and progress.
How many first terms of \(12,21,30,39,\ldots\) have sum (150)?
B. (5)
पहले (5) पद (12,21,30,39,48) हैं। उनका योग (150) है। / The first (5) terms are (12,21,30,39,48). Their sum is (150).
Login to save your score, XP, coins and progress.
In \(14,25,36,\ldots\), which term comes just before (91)?
C. (80)
क्रम (14,25,36,47,58,69,80,91) है। (91) से ठीक पहले (80) आता है। / The sequence is (14,25,36,47,58,69,80,91). The term just before (91) is (80).
Login to save your score, XP, coins and progress.
In \(768,384,192,96,\ldots\), which term comes just before (24)?
C. (48)
हर बार आधा हो रहा है। क्रम (768,384,192,96,48,24) है इसलिए (24) से पहले (48) है। / Each term is halved. The sequence is (768,384,192,96,48,24), so (48) comes before (24).
Login to save your score, XP, coins and progress.
Which statement is correct for the (n)th term of \(19,27,35,\ldots\)?
A. यह (8n+11) हैIt is (8n+11)
(n=1) पर (8(1)+11=19) और अंतर (8) मिलता है। इसलिए सही नियम (8n+11) है। / At (n=1), (8(1)+11=19), and the difference is (8). So the correct rule is (8n+11).
Login to save your score, XP, coins and progress.
Which is the correct rule for the (n)th term of \(156,144,132,\ldots\)?
A. \(a_n=168-12n\)
(n=1) रखने पर (168-12=156) मिलता है। यह हर बार (12) घटाने वाला नियम है। / Putting (n=1) gives (168-12=156). This rule decreases by (12) each time.
Login to save your score, XP, coins and progress.
If \(a_1=9\), \(a_2=16\), and each next term is the sum of the previous two terms, what is \(a_6\)?
D. (107)
क्रम (9,16,25,41,66,107) बनेगा। इसलिए \(a_6=107\) है। / The sequence becomes (9,16,25,41,66,107). Therefore \(a_6=107\).
Login to save your score, XP, coins and progress.
If \(a_n=5000\) in the sequence \(8,40,200,1000,\ldots\), what is (n)?
B. (5)
क्रम (8,40,200,1000,5000) है। (5000) पाँचवाँ पद है इसलिए (n=5)। / The sequence is (8,40,200,1000,5000). (5000) is the fifth term, so (n=5).
Login to save your score, XP, coins and progress.
If \(a_n=5n^2-4n+1\), what is the value of \(a_6-a_3\)?
C. (111)
(a_6=5\(6^2\)-4(6)+1=157) और (a_3=5\(3^2\)-4(3)+1=34) है। इसलिए अंतर (157-34=123) नहीं, विकल्पों में सही मान नहीं है। / (a_6=5\(6^2\)-4(6)+1=157) and (a_3=5\(3^2\)-4(3)+1=34). So the difference is (157-34=123), not listed in the options.
Login to save your score, XP, coins and progress.
What is the next term in \(6,13,29,61,\ldots\) if the rule is double the previous term and add (1)?
C. (123)
नियम के अनुसार \(61\times2+1=123\) है। अंतिम पद पर नियम लगाकर अगला पद निकालें। / By the rule, \(61\times2+1=123\). Apply the rule to the last term to get the next term.
Login to save your score, XP, coins and progress.
What will be the next term of \(20,31,46,65,88,\ldots\)?
C. (115)
अंतर (11,15,19,23) हैं और वे (4) से बढ़ रहे हैं। अगला अंतर (27) होगा इसलिए (88+27=115)। / The differences are (11,15,19,23), increasing by (4). The next difference is (27), so (88+27=115).
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 30 seconds per question for Hard 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.