Mathematics
Finding the $n$th term of an AP
Practice questions
If the (11)th term of an AP is (52) and (d=5), what is (a_2)?In a staircase, the first step height is (10) cm and each next step is (3) cm higher. What is the height of the (12)th step?In a savings plan, (₹200) is deposited in the first week and (₹50) more is deposited each week. What is the deposit in the (15)th week?A theatre has (18) seats in the first row and each next row has (2) more seats. How many seats are in the (20)th row?A plant is (25) cm tall on the first day and grows (1.5) cm daily. What will be its height on the (30)th day?A machine makes (500) items in the first hour and production decreases by (20) items each next hour. What is the production in the (14)th hour?The number of pages in chapters of a book increases as (12,16,20,\ldots). How many pages will the (18)th chapter have?If the (n)th term of an AP is (a_n=9n+2), what is the value of (a_{11}-a_5)?In an AP, (a_{15}=70) and (a_{25}=120). What is (a_1)?If the (10)th term of the AP (x, x+4, x+8,\ldots) is (50), what is the value of (x)?The (n)th term of the AP (27,24,21,\ldots) is (-30). What is (n)?If (a_7=29) and (a_{14}=64), what is the value of (a_{21})?In an AP, \(a=4\) and \(d=\frac{3}{2}\). What is \(a_{13}\)?If (a_n=50-4n), which term of the AP will be (-10)?In an AP, (a_{10}=31) and (a_{18}=55). What is (a_6)?In the AP (8,14,20,\ldots), (a_n=74). Find the value of (n).If the (p)th term of an AP is (q) and the (q)th term is (p), what is its ((p+q))th term?If the (3)rd term of an AP is (8) and the (8)th term is (3), what is the (11)th term?The first three-digit number is (100), which is not divisible by (7), but (105,112,119,\ldots) is the AP of three-digit multiples of (7). What is the (50)th term of this AP?What is the last term among the positive multiples of (9) less than (200)?