arithmatic progression

Q) In an A.P., 15 th term exceeds the 8 th term by 21. If sum of first 10 terms is 55, then form the A.P.  (Q 29 A – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the first term is a and Common difference is d Step 1: By 1 st given condition, “15 th term […]

Q) The sum of first n terms of an A.P. is 2n 2 + 13n. Find its n th term and hence 10 th term.  (Q 29 B – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the first term is a and Common difference is d (i) n th term: Method 1: Step 1: n th term

Q) ‘Kolam’ is a decorative art which is made with rice flour in South Indian States. It is drawn on grid pattern of dots. One such art work is shown below. Observe the given figure carefully. There are 4 dots in first square, 8 dots in second square, 12 dots in third square and so

Q) In an A.P., the first term is 4 and the last term is 31. If sum of all the terms is 175, find the number of terms and the common difference. (Q 23A- 30/3/3 – CBSE 2026 Question Paper) Ans: Given that, first term, a = 4 Step 1: By given 1st condition is given

Q) How many terms of the A.P. 21, 18, 15, must be added to get the sum zero? (Q 23B- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: From the given AP, First term a = 21 and common difference, d = 18 – 21 = – 3 Step 2: Let’s consider that sum

Q: Your elder brother wants to buy a car and plans to take a loan from a bank for his car. He repays his total loan of ₹ 1,18,000 by paying every month, starting with the first instalment of ₹ 1,000 and he increases the instalment by ₹ 100 every month. Based on the information

Q) In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes, as shown in the figure: A competitor starts from the bucket, picks up the nearest potato, runs

Q) How many two digits numbers are divisible by 3? Ans: Here, we need to count all two-digit numbers which are divisible by 3. Step 1: Now we know that the smallest two-digit number is 10. ∴ the first two digits number, which is also a multiple of 3, is 12. The largest two-digit number is

Q) Find the 7th term from the end of AP 7, 10, 13, …, 184. Ans: Given AP series is:  7, 10, 13, ……. , 184 Step 1: Let’s identify first term and common difference of our given AP: First term: a = 7 Common difference: d = 10 – 7 = 3 Step 2:

Q) Find the middle term of A.P 6,13, 20, ……., 230. [Q 21B – Sample Question Paper – CBSE Board 2026] Ans: Step 1: given progression is: 6,13, 20, ……., 230 Here, we can see that first term, a = 6 and the common difference, d = 13 – 6 = 7 Step 2: Let’s