In a school, students thought of planting trees in and around the school to reduce air......Q329
Автор: Zenith Institute of Mathematics
Загружено: 2026-03-13
Просмотров: 1
Описание:
Class X Arithmetic Progressions
Chapter – 5
Q329: In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of Class I will plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There are three sections of each class. How many trees will be planted by the students?
Previous Videos related to this chapter are mentioned in the below link:
Q138: In a certain A.P. the 32th term is twice the 12th term. Prove the 70th term is twice the 31st term.: • In a certain A.P. the 32th term is twice t...
Q139: The 8th term of an A.P. is zero. Prove that its 38th term is triple of its 18th term: • The 8th term of an A.P. is zero. Prove tha...
Q149: Find the 12th term from the end of the A.P.: −𝟐, −𝟒, −𝟔, …, −𝟏𝟎𝟎.: • Find the 12th term from the end of the A.P...
Q151: Find middle term: 213, 205, 197, ..., 37.: • Find middle term: 213, 205, 197, ..., 37.....
Q156: In the A.P. 𝟏, 𝟕, 𝟏𝟑, 𝟏𝟗, …, 𝟒𝟏𝟓, prove that the sum of the middle terms is equal to the sum of first and last terms.: • In the A.P. 𝟏, 𝟕, 𝟏𝟑, 𝟏𝟗, …, 𝟒𝟏𝟓, prove th...
Q157: Find the value of the middle most term (s) of the AP −𝟏𝟏, −𝟕, −𝟑, ….., 𝟒𝟗: • Find the value of the middle most term (s)...
Q159: Which term of the AP: 53, 48, 43, ... is the first negative term?: • Which term of the AP: 53, 48, 43, ... is t...
Q162: If the nth terms of the two APs: 9, 7, 5, ... and 24, 21, 18,... are the same, find the value of n. Also find that term: • If the nth terms of the two APs: 9, 7, 5, ...
Q164: Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms. Why?: • Two APs have the same common difference. T...
Q165: Find a, b and c if it is given that the numbers a, 7, b, 23, c are in A.P.: • Find a, b and c if it is given that the nu...
Q167: If the p^th term of an AP be 1/q and q^th term be 1/p, then show that its (pq)^th term is 1.: • If the p^th term of an AP be 1/q and q^th ...
Q170: If p^th, q^th and r^th terms of an A.P. are a, b, c respectively, then show that: • If p^th, q^th and r^th terms of an A.P. ar...
a. a(q-r)+b(r-p)+c(p-q)=0
b. (a-b)r+(b-c)p+(c-a)q=0
Q232: The first term of an AP is – 5 and the last term is 45. If the sum of the terms of the AP is 120, then find the number of terms and the common difference.: • The first term of an AP is – 5 and the la...
Q243: How many terms of the AP 45, 39, 33, … must be taken, so that their sum is 180? Explain the double answer.: • How many terms of the AP 45, 39, 33, … mus...
Q252: Find the sum of first 24 terms of the list of numbers whose nth term is given by a_n=3+2n: • Find the sum of first 24 terms of the list...
Q263: The sum of first 𝒏 terms of an A.P. is 5n^2+3n. If its m^th term is 168, find the value of m. Also, find the 20th term of this A.P: • The sum of first 𝒏 terms of an A.P. is 5n^...
CONCEPT: HOW TO FIND a_n FROM S_n: • CONCEPT: HOW TO FIND a_n FROM S_n
Q: 200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row,18 in the row next to it and so on (see Fig. 5.5). In how many rows are the 200 logs placed and how many logs are in the top row? • 200 logs are stacked in the following mann...
Q: In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line (see Fig. 5.6) • In a potato race, a bucket is placed at th...
Q: A ladder has rungs 25 cm apart.(see Fig. 5.7). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 2 1/2 m apart, what is the length of the wood required for the rungs? • A ladder has rungs 25 cm apart.(see Fig. 5...
Q: The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x. • The houses of a row are numbered consecuti...
Q: 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 1 4 m and a tread of 1 2 m. (see Fig.). Calculate the total volume of concrete required to build the terrace • A small terrace at a football ground compr...
#CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #Mensuration #SurfaceAreas&Volumes #Area #Volume #CSA #TSA #Circles #Tangents #Chord #SemiCircle #Radius #Theorems #QuadraticEquations #ArithmeticProgression #GeneralTerm #Sequence #Series #Sumofnterms
Повторяем попытку...
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке: