Mathematics
Finding the $n$th term of an AP
Practice questions
The (10)th term of an AP is (62) and (d=5). What is (a_1)?Which term of the AP (14,23,32,\ldots) is (185)?What will be the (22)nd term of the AP (-32,-25,-18,\ldots)?If (a_8=44) and (a_{18}=104), what is (a_{28})?If the first term of an AP is (16) and (a_{26}=116), what is (d)?If the \(n\)th term of an arithmetic progression is \(a_n=4n-7\), which correctly identifies its first term and common difference?In the AP (5,12,19,\ldots), what is the greatest term less than (150)?If (a_n=3n-2), what are the first term and common difference?In an auditorium, the first row has 18 seats and each successive row has 3 more seats. Ananya says that the 15th row will have \(18+15\times3=63\) seats. Which is the correct assessment of her statement?In the AP (2,6,10,\ldots), what is the last term less than (75)?If in an AP (a_{16}=91) and (d=6), what is (a_3)?On a bus route, the first stop is (3) km away and each next stop is (2.5) km farther. What is the distance of the (18)th stop?In a contest, the first question gives (5) marks and each next question gives (3) more marks. What are the marks for the (20)th question?Which of the following nth-term rules defines an arithmetic progression (AP)?A tank has (180) litres of water in the first minute and (12) litres drain out each minute. What is the amount of water in the (11)th minute?A factory makes (350) items on the first day and production increases by (15) items each day. What is the production on the (22)nd day?In a mobile plan, the fee in the first month is (₹900) and the discount increases by (₹35) each month. What is the fee in the (10)th month?If (a_n=11n-4), what is the value of (a_{15}-a_9)?In an AP, (a_{12}=54) and (a_{20}=94). What is the first term?If the (12)th term of the AP (y,y+6,y+12,\ldots) is (89), what is the value of (y)?