Question 1 :
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

Question 2 :
The sum of the third and the seventh termsof an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.

Question 3 :
Find the sum of the following AP: 0.6, 1.7, 2.8, . . ., to 100 terms.

Question 4 :
In an AP, given $a = 2, d = 8, S_n = 90$, find n and $a_n$.

Question 5 :
Find the sum of the first 15 terms in $a_n = 3 + 4n$.

Question 6 :
The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

Question 7 :
Find the sum of the odd numbers between 0 and 50.

Question 8 :
Find the number of terms in the following AP :18, 15.5, 13, . . . , – 47

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc6273b230584979a13.JPG' /> In the above fig. A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm, . . . as shown in above figure. What is the total length of such a spiral made up of thirteen consecutive semicircles?

Question 10 :
Find the sum of the following AP: –37, –33, –29, . . ., to 12 terms.

Question 11 :
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 12 :
Find the sum of the first 40 positive integers divisible by 6.

Question 13 :
Find the sum of the following AP: 34 + 32 + 30 + . . . + 10

Question 14 :
Find the sum of the following AP: $\frac{1}{15}, \frac{1}{12}, \frac{1}{10}, . .$ , to 11 terms

Question 15 :
In an AP, given $a = 3, n = 8, S = 192$, find d.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc3273b230584979a0e.JPG' /> In the above fig, find the missing value corresponding to (iii)

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc9273b230584979a17.JPG' /> 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 19 :
The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc4273b230584979a10.JPG' /> In the above fig, find the missing value corresponding to (i)