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 […]
arithmatic progression
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.
Q) A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs. 15,000 after 4 years of service and Rs. 18,000 after 10 years of service, what was his starting salary and what was the annual increment? Ans: Step 1: Let’s consider the starting
A man starts his job with a certain monthly salary and earns a fixed increment Read More »
Q) Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasures. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an
Treasure Hunt is an exciting and adventurous game where participants follow a series Read More »
Q) Ms. Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer there are 3 jars. In the next layer there are 6 jars. In the 3rd layer from the top there are 9 jars and so on till
Ms. Sheela visited a store near her house and found that the glass jars are arranged Read More »