Level 56 • 50/50 questions • 35 seconds per question.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(4,9,14,19,\ldots\)?
A. (5n-1)
यह समान अंतर (5) वाली श्रेढ़ी है, इसलिए (a_n=4+(n-1)5=5n-1)। पहले पद और अंतर से नियम बनाएं। / It has common difference (5), so (a_n=4+(n-1)5=5n-1). Use the first term and difference to form the rule.
Login to save your score, XP, coins and progress.
If \(a_n=3n+2\), what is the value of \(a_8\)?
B. (26)
(a_8=3(8)+2=26)। दिए नियम में (n) की जगह पद-संख्या रखें। / (a_8=3(8)+2=26). Put the term number in place of (n) in the rule.
Login to save your score, XP, coins and progress.
C. (51)
(a_{12}=7+11(4)=51)। (12)वें पद तक (11) अंतर लगते हैं। / (a_{12}=7+11(4)=51). Up to the (12)th term, (11) differences are used.
Login to save your score, XP, coins and progress.
What is the (6)th term of the geometric progression \(2,6,18,\ldots\)?
D. (486)
यहाँ (r=3), इसलिए \(a_6=2\cdot3^5=486\)। गुणोत्तर श्रेढ़ी में \(a_n=ar^{n-1}\) लगाएं। / Here (r=3), so \(a_6=2\cdot3^5=486\). Use \(a_n=ar^{n-1}\) in a geometric progression.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(1,4,9,16,\ldots\)?
A. \(n^2\)
यह वर्ग संख्याओं का अनुक्रम है, इसलिए \(a_n=n^2\)। पैटर्न को पहले कुछ पदों से पहचानें। / This is the sequence of square numbers, so \(a_n=n^2\). Identify the pattern from the first few terms.
Login to save your score, XP, coins and progress.
If \(a_n=2n^2+1\), what is \(a_5\)?
B. (51)
(a_5=2(5)2+1=51)। घात की गणना पहले करें फिर जोड़ें। / (a_5=2(5)2+1=51). Calculate the power first and then add.
Login to save your score, XP, coins and progress.
In the sequence \(6,11,16,21,\ldots\), what is (n) when \(a_n=46\)?
C. (9)
यहाँ (a_n=6+(n-1)5=5n+1), इसलिए (5n+1=46) से (n=9)। पद मिलने पर नियम को बराबर रखें। / Here (a_n=6+(n-1)5=5n+1), so (5n+1=46) gives (n=9). Set the rule equal to the given term.
Login to save your score, XP, coins and progress.
If \(a_n=4n-3\), which term will be equal to (45)?
C. (12)वाँ(12)th
(4n-3=45) से (4n=48) और (n=12)। पद की स्थिति के लिए समीकरण हल करें। / From (4n-3=45), (4n=48) and (n=12). Solve the equation to find the term position.
Login to save your score, XP, coins and progress.
What is the (15)th term of the sequence \(3,7,11,15,\ldots\)?
C. (59)
(a_n=3+(n-1)4), इसलिए (a_{15}=3+14(4)=59)। (15)वें पद तक (14) अंतर लगते हैं। / (a_n=3+(n-1)4), so (a_{15}=3+14(4)=59). Up to the (15)th term, (14) differences are used.
Login to save your score, XP, coins and progress.
What is the (n)th term of the geometric progression \(5,10,20,\ldots\)?
D. \(5\cdot2^{n-1}\)
पहला पद (5) और अनुपात (2) है, इसलिए \(a_n=5\cdot2^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है। / The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).
Login to save your score, XP, coins and progress.
If \(a_n=n^2+n\), what is the value of \(a_7\)?
C. (56)
\(a_7=7^2+7=56\)। वर्ग और जोड़ को क्रम से करें। / \(a_7=7^2+7=56\). Do the square and addition in order.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(10,7,4,1,\ldots\)?
A. (13-3n)
पहला पद (10) और अंतर (-3) है, इसलिए (a_n=10+(n-1)(-3)=13-3n)। घटती श्रेढ़ी में अंतर ऋणात्मक होता है। / The first term is (10) and the difference is (-3), so (a_n=10+(n-1)(-3)=13-3n). In a decreasing progression the difference is negative.
Login to save your score, XP, coins and progress.
If \(a_n=25-2n\), what is \(a_{10}\)?
B. (5)
(a_{10}=25-2(10)=5)। घटते नियम में घटाव सावधानी से करें। / (a_{10}=25-2(10)=5). Be careful with subtraction in a decreasing rule.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(2,5,10,17,\ldots\)?
A. \(n^2+1\)
पद \(1^2+1,2^2+1,3^2+1,\ldots\) के रूप में हैं, इसलिए \(a_n=n^2+1\)। वर्ग वाले पैटर्न को पहचानें। / The terms are \(1^2+1,2^2+1,3^2+1,\ldots\), so \(a_n=n^2+1\). Recognize the square pattern.
Login to save your score, XP, coins and progress.
If \(a_n=6n+1\), what is \(a_9-a_4\)?
C. (30)
\(a_9=55\) और \(a_4=25\), इसलिए अंतर (30) है। दोनों पद अलग निकालकर घटाएं। / \(a_9=55\) and \(a_4=25\), so the difference is (30). Find both terms separately and subtract.
Login to save your score, XP, coins and progress.
What is the (5)th term of the geometric progression \(3,12,48,\ldots\)?
C. (768)
यहाँ (r=4), इसलिए \(a_5=3\cdot4^4=768\)। (5)वें पद के लिए अनुपात (4) बार लगता है। / Here (r=4), so \(a_5=3\cdot4^4=768\). For the (5)th term, the ratio is used (4) times.
Login to save your score, XP, coins and progress.
In the sequence \(8,13,18,23,\ldots\), which term is (58)?
C. (11)वाँ(11)th
(a_n=8+(n-1)5=5n+3), इसलिए (5n+3=58) से (n=11)। नियम बनाकर दिए पद के बराबर रखें। / (a_n=8+(n-1)5=5n+3), so (5n+3=58) gives (n=11). Form the rule and set it equal to the given term.
Login to save your score, XP, coins and progress.
If \(a_n=2^n\), what is \(a_6\)?
C. (64)
\(a_6=2^6=64\)। घातांक वाले नियम में आधार और घात को सही रखें। / \(a_6=2^6=64\). In an exponential rule, keep the base and exponent correct.
Login to save your score, XP, coins and progress.
Which is the correct (n)th term for the sequence \(5,8,13,20,\ldots\)?
A. \(n^2+4\)
पद \(1^2+4,2^2+4,3^2+4,\ldots\) हैं, इसलिए \(a_n=n^2+4\)। वर्ग के साथ स्थिर संख्या पहचानें। / The terms are \(1^2+4,2^2+4,3^2+4,\ldots\), so \(a_n=n^2+4\). Identify the square with the constant number.
Login to save your score, XP, coins and progress.
If \(a_n=7n-5\), what is the value of \(a_6+a_2\)?
B. (44)
\(a_6=37\) और \(a_2=9\), इसलिए योग (46) है। सही योग के लिए दोनों पद अलग निकालें। / \(a_6=37\) and \(a_2=9\), so the sum is (46). Find both terms separately for the correct sum.
Login to save your score, XP, coins and progress.
What is the (20)th term of the sequence \(12,18,24,30,\ldots\)?
B. (126)
(a_{20}=12+19(6)=126)। (20)वें पद तक (19) समान अंतर लगते हैं। / (a_{20}=12+19(6)=126). Up to the (20)th term, (19) common differences are used.
Login to save your score, XP, coins and progress.
If \(a_n=3^n\), what is \(a_4\)?
C. (81)
\(a_4=3^4=81\)। घात वाले पद में (n) की जगह (4) रखें। / \(a_4=3^4=81\). Put (4) in place of (n) in the exponential term.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(1,3,5,7,\ldots\)?
C. (2n-1)
यह विषम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n-1\)। पहले पद पर (n=1) रखकर जांचें। / This is the sequence of odd numbers, so \(a_n=2n-1\). Check by putting (n=1) for the first term.
Login to save your score, XP, coins and progress.
If \(a_n=4n^2-1\), what is \(a_4\)?
D. (63)
(a_4=4(4)2-1=63)। पहले वर्ग करें फिर गुणा और घटाव करें। / (a_4=4(4)2-1=63). First square, then multiply and subtract.
Login to save your score, XP, coins and progress.
What is the (5)th term of the geometric progression \(81,27,9,\ldots\)?
A. (1)
सार्व अनुपात \(\frac{1}{3}\) है और पद (81,27,9,3,1) हैं। घटती श्रेढ़ी में अनुपात से गुणा करते जाएं। / The common ratio is \(\frac{1}{3}\), and the terms are (81,27,9,3,1). In a decreasing progression, keep multiplying by the ratio.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(2,4,6,8,\ldots\)?
B. (2n)
यह सम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n\)। (n=1) पर पहला पद (2) मिलना चाहिए। / This is the sequence of even numbers, so \(a_n=2n\). For (n=1), the first term should be (2).
Login to save your score, XP, coins and progress.
If \(a_n=10n-4\), what is the value of \(a_{11}\)?
C. (106)
(a_{11}=10(11)-4=106)। (n) के स्थान पर (11) रखकर सरल करें। / (a_{11}=10(11)-4=106). Substitute (11) for (n) and simplify.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(15,11,7,3,\ldots\)?
A. (19-4n)
पहला पद (15) और अंतर (-4) है, इसलिए (a_n=15+(n-1)(-4)=19-4n)। घटती श्रेढ़ी में चिह्न पर ध्यान दें। / The first term is (15) and the difference is (-4), so (a_n=15+(n-1)(-4)=19-4n). Pay attention to the sign in a decreasing sequence.
Login to save your score, XP, coins and progress.
If (a_n=n(n+1)), what is \(a_6\)?
C. (42)
(a_6=6(7)=42)। कोष्ठक में (n+1) को पहले निकालें। / (a_6=6(7)=42). First find (n+1) inside the bracket.
Login to save your score, XP, coins and progress.
What is the (4)th term of the geometric progression \(4,20,100,\ldots\)?
B. (500)
सार्व अनुपात (5) है, इसलिए \(a_4=4\cdot5^3=500\)। गुणोत्तर पद में अनुपात की घात (n-1) होती है। / The common ratio is (5), so \(a_4=4\cdot5^3=500\). In a geometric term, the exponent of the ratio is (n-1).
Login to save your score, XP, coins and progress.
If \(a_n=5n+6\), what is the difference between \(a_7\) and \(a_3\)?
B. (20)
\(a_7=41\) और \(a_3=21\), इसलिए अंतर (20) है। पदों को अलग निकालकर घटाएं। / \(a_7=41\) and \(a_3=21\), so the difference is (20). Find the terms separately and subtract.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(4,7,12,19,\ldots\)?
A. \(n^2+3\)
पद \(1^2+3,2^2+3,3^2+3,\ldots\) हैं, इसलिए \(a_n=n^2+3\)। वर्ग के साथ स्थिर जोड़ पहचानें। / The terms are \(1^2+3,2^2+3,3^2+3,\ldots\), so \(a_n=n^2+3\). Identify the square plus a constant.
Login to save your score, XP, coins and progress.
If \(a_n=50-5n\), which term will be zero?
C. (10)वाँ(10)th
(50-5n=0) से (n=10)। शून्य पद के लिए \(a_n\) को (0) के बराबर रखें। / From (50-5n=0), (n=10). For a zero term, set \(a_n\) equal to (0).
Login to save your score, XP, coins and progress.
In the sequence \(9,18,36,72,\ldots\), which term is (288)?
C. (6)वाँ(6)th
पद (9,18,36,72,144,288) हैं, इसलिए (288) छठा पद है। छोटे प्रश्नों में पद क्रम से लिखना तेज है। / The terms are (9,18,36,72,144,288), so (288) is the sixth term. For small questions, listing terms is quick.
Login to save your score, XP, coins and progress.
If \(a_n=\frac{n(n+1)}{2}\), what is \(a_8\)?
C. (36)
\(a_8=\frac{8\cdot9}{2}=36\)। भाग देने से पहले गुणा करें या सरल करें। / \(a_8=\frac{8\cdot9}{2}=36\). Multiply or simplify before dividing.
Login to save your score, XP, coins and progress.
What is the (8)th term of the sequence \(20,17,14,11,\ldots\)?
A. (-1)
(a_8=20+7(-3)=-1)। घटती श्रेढ़ी में समान अंतर ऋणात्मक लें। / (a_8=20+7(-3)=-1). In a decreasing sequence, take the common difference as negative.
Login to save your score, XP, coins and progress.
If \(a_n=3n^2-2n\), what is the value of \(a_4\)?
C. (40)
(a_4=3(4)2-2(4)=40)। पहले वर्ग करें, फिर गुणा और घटाव करें। / (a_4=3(4)2-2(4)=40). Square first, then multiply and subtract.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(2,6,12,20,\ldots\)?
A. \(n^2+n\)
पद \(1\cdot2,2\cdot3,3\cdot4,\ldots\) हैं, इसलिए (a_n=n(n+1)=n-2+n)। गुणन पैटर्न पहचानें। / The terms are \(1\cdot2,2\cdot3,3\cdot4,\ldots\), so (a_n=n(n+1)=n-2+n). Identify the product pattern.
Login to save your score, XP, coins and progress.
If \(a_n=2n+9\), what is (n) for \(a_n=35\)?
C. (13)
(2n+9=35) से (2n=26) और (n=13)। पद की स्थिति निकालने के लिए समीकरण हल करें। / From (2n+9=35), (2n=26) and (n=13). Solve the equation to find the position of the term.
Login to save your score, XP, coins and progress.
What is the (6)th term of the geometric progression \(64,32,16,\ldots\)?
B. (2)
पद (64,32,16,8,4,2) हैं, इसलिए (6)वाँ पद (2) है। घटती गुणोत्तर श्रेढ़ी में आधा करते जाएं। / The terms are (64,32,16,8,4,2), so the (6)th term is (2). In a decreasing geometric progression, keep halving.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(7,14,21,28,\ldots\)?
A. (7n)
यह (7) के गुणजों का अनुक्रम है, इसलिए \(a_n=7n\)। (n=1) पर पहला पद (7) मिलना चाहिए। / This is the sequence of multiples of (7), so \(a_n=7n\). For (n=1), the first term should be (7).
Login to save your score, XP, coins and progress.
If \(a_n=9-4n\), what is \(a_5\)?
B. (-11)
(a_5=9-4(5)=-11)। घटाव करते समय ऋणात्मक उत्तर से न डरें। / (a_5=9-4(5)=-11). Do not worry if subtraction gives a negative answer.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(3,8,15,24,\ldots\)?
B. \(n^2+2\)
पद \(1^2+2,2^2+4\) नहीं; सही पैटर्न \(n^2+2n\) से (3,8,15,24) मिलता है। विकल्प में \(n^2+2n\) चुनें। / The rule \(n^2+2n\) gives (3,8,15,24). Choose the option that matches all first terms.
Login to save your score, XP, coins and progress.
If \(a_n=2\cdot5^{n-1}\), what is \(a_4\)?
C. (250)
\(a_4=2\cdot5^3=250\)। गुणोत्तर नियम में घात (n-1) होती है। / \(a_4=2\cdot5^3=250\). In a geometric rule, the exponent is (n-1).
Login to save your score, XP, coins and progress.
In the sequence \(11,15,19,23,\ldots\), what is (n) for \(a_n=63\)?
C. (14)
(a_n=11+(n-1)4=4n+7), इसलिए (4n+7=63) से (n=14)। नियम को दिए पद के बराबर रखें। / (a_n=11+(n-1)4=4n+7), so (4n+7=63) gives (n=14). Set the rule equal to the given term.
Login to save your score, XP, coins and progress.
If \(a_n=n^2-1\), what is the value of \(a_9\)?
B. (80)
\(a_9=9^2-1=80\)। पहले वर्ग करें फिर (1) घटाएं। / \(a_9=9^2-1=80\). First square and then subtract (1).
Login to save your score, XP, coins and progress.
In the geometric progression \(1,4,16,\ldots\), which term is (1024)?
B. (6)वाँ(6)th
पद (1,4,16,64,256,1024) हैं, इसलिए (1024) छठा पद है। घातों को क्रम से पहचानें। / The terms are (1,4,16,64,256,1024), so (1024) is the sixth term. Identify the powers in order.
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(5,15,25,35,\ldots\)?
A. (10n-5)
पहला पद (5) और अंतर (10) है, इसलिए (a_n=5+(n-1)10=10n-5)। पहले पद पर (n=1) रखकर जांचें। / The first term is (5) and the difference is (10), so (a_n=5+(n-1)10=10n-5). Check by putting (n=1).
Login to save your score, XP, coins and progress.
If \(a_n=\frac{3n+1}{2}\), what is \(a_7\)?
B. (11)
(a_7=\frac{3(7)+1}{2}=11)। पहले अंश को सरल करें फिर (2) से भाग दें। / (a_7=\frac{3(7)+1}{2}=11). First simplify the numerator and then divide by (2).
Login to save your score, XP, coins and progress.
What is the (n)th term of the sequence \(2,8,18,32,\ldots\)?
A. \(2n^2\)
पद (2(1)2,2(2)2,2(3)2,\ldots) हैं, इसलिए \(a_n=2n^2\)। वर्ग और गुणक दोनों पहचानें। / The terms are (2(1)2,2(2)2,2(3)2,\ldots), so \(a_n=2n^2\). Identify both the square and the multiplier.
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 35 seconds per question for Medium 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.