Mathematics
nth term
अनुक्रम का nवाँ पद
In this Class 9 Mathematics topic from Sequences and Progressions, students learn how to find the nth term of a sequence by connecting a term’s position with its value. The topic focuses especially on arithmetic progressions, where each term changes by a constant common difference, using the formula aₙ = a + (n − 1)d. Students practise identifying patterns, finding missing or distant terms, checking whether a number belongs to a sequence, and applying the method to clear numerical and real-life problems.
Practice questions
If \(a_n=3\cdot4^{n-1}\), what is \(a_4\)?In the sequence (14,18,22,26,\ldots), what is (n) for (a_n=70)?If (a_n=n^2+2n-1), what is the value of (a_6)?In the geometric progression (2,10,50,\ldots), which term is (1250)?What is the nth term of the sequence (6, 16, 26, 36, ...)?If \(a_n=\frac{5n-1}{2}\), what is \(a_7\)?What is the (n)th term of the sequence (3,12,27,48,\ldots)?If aₙ = 11n + 2, what is the value of a₄ + a₆?In the sequence (7,14,28,56,\ldots), which term is (448)?If (a_n=2n^2+3n), what is (a_5)?What is the (n)th term of the sequence (40,35,30,25,\ldots)?If \(a_n=\frac{n^2+n}{2}\), what is \(a_{10}\)?If \(a_n=5\cdot2^{n-1}\), what is the value of \(a_6\)?If the (n)th term of a sequence is (a_n=n+6), what is the fifth term?Which of the following sequences can have the general term \(a_n=4n+1\)?What will be the twelfth term in the sequence (4,8,12,16,\ldots)?Which of the following sequences has the nth term \(a_n=4n-3\)?If (a_n=n^2+2), what is the fifth term?What is the fifth term of the sequence (2, 4, 8, 16, ...)?Which of the following general terms represents the sequence of odd natural numbers?