Question 1 :
30th term of the AP: 10, 7, 4, . . . , is
Question 3 :
Find the sum of the following AP: 2, 7, 12, . . ., to 10 terms.
Question 4 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 2nd term ?
Question 5 :
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A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise of 0.25 m and a tread of 0.5 m. Calculate the total volume of concrete required to build the terrace.
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 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 10th term ?
Question 8 :
In an AP, given a = 5, d = 3, $a_n$= 50, find n and $S_n$.
Question 9 :
Find the sum of the following AP: –5 + (–8) + (–11) + . . . + (–230)
Question 10 :
Find the sum of the following AP: $\frac{1}{15}, \frac{1}{12}, \frac{1}{10}, . .$ , to 11 terms
Question 11 :
Does $a_1, a_2, . . ., a_n, . . $ form an AP where $a_n = 9 – 5n$?
Question 12 :
In an AP, given $a = 3, n = 8, S = 192$, find d.
Question 13 :
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 14 :
In an AP, given $d = 5, S_9 = 75$, find a and $a_9$.