More from Anujith K

Question 1 :
Find the number of terms in the following AP :18, 15.5, 13, . . . , – 47

Question 2 :
<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 3 :
Find the sum of the first 15 terms in $a_n = 3 + 4n$.

Question 4 :
Find the sum of the following AP: 34 + 32 + 30 + . . . + 10

Question 5 :
<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 6 :
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 7 :
Find the sum of the odd numbers between 0 and 50.

Question 8 :
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 9 :
Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

Question 11 :
In an AP, given $a_n = 4, d = 2, S_n = –14$, find n and a.

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

Question 13 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$

Question 14 :
If the sum of the first n terms of an AP is $4n – n^2$, what is the first term (that is $S_1$)?

Question 16 :
30th term of the AP: 10, 7, 4, . . . , is

Question 17 :
In an AP, given $d = 5, S_9 = 75$, find a and $a_9$.

Question 18 :
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

Question 19 :
In an AP, given l = 28, S = 144, and there are total 9 terms. Find a.

Question 20 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 2nd term ?

Question 22 :
In an AP, given $a = 3, n = 8, S = 192$, find d.

Question 23 :
If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?

Question 24 :
Find the sum of the following AP: 0.6, 1.7, 2.8, . . ., to 100 terms.

Question 25 :
In an AP, given $a = 2, d = 8, S_n = 90$, find n and $a_n$.

Question 26 :
In an AP, given $a_3 = 15, S_{10} = 125$, find d and $a_{10}$.

Question 27 :
Find the sum of the first 40 positive integers divisible by 6.

Question 28 :
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 29 :
For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

Question 30 :
Find the sum of the following AP: –37, –33, –29, . . ., to 12 terms.