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
In a sequence, each term is 5 more than twice its position number. Which is the correct nth term of the sequence?What is the (n)th term of the sequence (12,24,36,48,\ldots)?If (a_n=n^2+n), what is the fourth term?Which (n)th term is correct for the sequence (2,6,12,20,\ldots)?In a sequence, what does \(n\) represent in the notation \(a_n\)?In the sequence (10,20,30,40,\ldots), which term is (90)?Which rule gives the \(n\)th term of an arithmetic progression whose first term is 7 and common difference is 4?What is the (n)th term of the sequence (15,30,45,60,\ldots)?In an arithmetic progression, which expression represents the common difference \(d\) using two consecutive terms \(a_{n-1}\) and \(a_n\)?What is the nth term of the sequence (6, 9, 12, 15, ...)?If \(a_n=\frac{3n}{2}\), what is the fourth term?What is the (n)th term of the sequence (\frac{3}{2},3,\frac{9}{2},6,\ldots)?If (a_n=2^n+1), what is the third term?What is the nth term of the sequence (5, 9, 13, 17, ...)?Which option gives the nth term of an arithmetic progression whose first term is 7 and in which each successive term increases by 3?What is the seventh term of the sequence (20,40,60,80,\ldots)?What type of progression is the sequence whose nth term is \(a_n=5n+2\)?What is the nth term of the sequence (4, 10, 16, 22, ...)?If \(a_n=\frac{n}{3}\), what is the ninth term?What is the (n)th term of the sequence (\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots)?