Question 1 :
Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .
Question 2 :
In an AP, given $a_3 = 15, S_{10} = 125$, find d and $a_{10}$.
Question 3 :
In an AP, given $a = 8, a_n = 62, S_n = 210$, find n and $d$.
Question 4 :
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?
Question 6 :
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
Question 7 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, what is the sum of the AP?
Question 8 :
In an AP, given $a_n = 4, d = 2, S_n = –14$, find n and a.
Question 9 :
11th term of the AP: – 3, -0.5, 2, . . ., is
Question 10 :
Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
Question 11 :
For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?
Question 12 :
How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of 636?
Question 13 :
Find the sum of the following AP: –5 + (–8) + (–11) + . . . + (–230)
Question 14 :
Find the sum of the first 15 terms in $a_n = 3 + 4n$.
Question 15 :
Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.