Q) -11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: (a) What is the type of progression? (b) How many terms are there in all? (c) Calculate the value of middle most term. ICSE Specimen Question Paper 2026 Ans: a) Type of progression: Step 1: given progression is: -11, -7, -3, […]
-11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: Read More »
Q) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P. ICSE Specimen Question Paper – 2026 Step 1: Given first term of AP, a = 3 Step 2: Finding value of
Q) The roots of equation (q – r) x2 + (r – p) x + (p – q) = 0 are equal. Prove that: 2q = p + r, that is, p, q & r are in A.P. ICSE Specimen Question Paper – 2026 Step 1: Let’s start comparing the given quadratic equation with standard
Q) In a class, the teacher asks every student to write an example of A.P. Two boys Aryan and Roshan writes the progression as − 5, − 2, 1, 4, …… and 187, 184, 181, …. respectively. Now the teacher asks his various students the following questions on progression. Help the students to find answers
Q) In an equilateral triangle of side 10 cm, equilateral triangles of side 1 cm are formed as shown in the figure below, such that there is one triangle in the first row, three triangles in the second row, five triangles in the third row and so on. Based on given information, answer the following
Q) In an A.P. of 50 terms, the sum of first 10 terms is 210 and the sum of last 15 terms is 2565. Find the A.P. Ans: We can find the AP, if we find its first term and common difference. Let’s consider the first terms of AP is “a” and the common difference
Q). Find the value of X, when in the A.P. given below 2 + 6 + 10 + …… + X = 1800 Ans: Step 1: In the given AP: a = 2, d = 4, Let’s consider there are n terms in this AP, Given that the sum of AP is 1800
Find the value of X, when in the A.P. given below 2 + 6 + 10 + …… + X = 1800 Read More »
Q) How many terms of the arithmetic progression 24, 21, 18, …….. must be taken so that their sum is 78? Explain the double answer. Ans: We start from the given AP: 24, 21, 18, ……. a = 24, d = – 3, Sn = 78 (given) Sum of n terms of AP, Sn
Q) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P. ICSE Specimen Question Paper (SQP)2025 Ans: It is given that first term, a = 3 (given). Let’s consider the common difference
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms Read More »
Q) Your elder brother wants to buy a car and plans to take loan from a bank for his car. He repays his total loan of Rs. 1,18,000 by paying every month starting with the first installment of Rs. 1000. If he increases the instalment by Rs. 100 every month , answer the following: 1.