Question 1 :
In an AP, given l = 28, S = 144, and there are total 9 terms. Find a.
Question 2 :
Ramkali saved Rs. 5 in the first week of a year and then increased her weekly savings by Rs. 1.75. If in the nth week, her weekly savings become Rs. 20.75, find n.
Question 3 :
In an AP, given $a_3 = 15, S_{10} = 125$, find d and $a_{10}$.
Question 4 :
Does $a_1, a_2, . . ., a_n, . . $ form an AP where $a_n = 3 + 4n$?
Question 6 :
Find the sum of the following AP: 2, 7, 12, . . ., to 10 terms.
Question 7 :
A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 20 less than its preceding prize, find the smallest value of the prize.
Question 8 :
In an AP, given $a = 3, n = 8, S = 192$, find d.
Question 9 :
Which term of the AP : 121, 117, 113, . . ., is its first negative term?
Question 10 :
Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.
Question 11 :
In an AP, given a = 5, d = 3, $a_n$= 50, find n and $S_n$.
Question 12 :
Find the sum of the following AP: –37, –33, –29, . . ., to 12 terms.
Question 13 :
Find the sum of the first 40 positive integers divisible by 6.
Question 14 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there in the AP?