Q) The sum of first and eighth terms of an A.P. is 32 and their product is 60. Find the first term and common difference of the A.P. Hence, also find the sum of its first 20 terms. Ans:Ā VIDEO SOLUTION STEP BY STEP SOLUTION Ans: Let’s consider the first terms of AP is a […]
arithmatic progression
Q) In an A.P. of 40 terms, the sum of first 9 terms is 153 and the sum of last 6 terms is 687. Determine the first term and common difference of A.P. Also, find the sum of all the terms of the A.P. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Let’s consider the first
Q) If the mth term of an AP is 1/n and the nth term is 1/m, then show that the sum of (mn)th term is (mn+1). Ans:Ā Let first term of the given AP = a Common difference of the given AP = d Then, …………….(I) …………….(ii) Subtracting equation (ii) from equation (ii),we get Putting
Q) Find the sum of š terms of the series (4 ā1/š) + (4 ā2/š) + (4 ā3/š) +….. Ans:Ā Method 1: The AP (4 ā1/š) + (4 ā2/š) + (4 ā3/š) +…..Ā can be re-arranged as: (4 + 4 + 4 + 4 + …..Ā up to š terms ) – (1 + 2
Q)Ā In a school examination hall, the teacher makes students sit in such a way that no students can cheat from other student. So, the teacher decides to mark the numbers on each chair from 1. 2. 3……. If there are 26 students and each student is seated at alternate position in examination hall such that
In a school examination hall, the teacher makes students sit in such a way that Read More Ā»
Q) A sum of Rs. 1400 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 40 less than the preceding price, find the value of each of the prizes. Ans:Ā It is given that each prize money is less than the
Q)Ā If the sum ofĀ mĀ terms of an A.P. is the same as the sum of itsĀ nĀ terms, show that the sum of itsĀ (m+n)Ā terms is zero. Ans: Let = First term of the given A.P. and = Common difference . Then, .Ā Ā Ā Ā Ā Ā Ā Ā Ā Now, Hence Proved! Please do press āHeartā
Q)Ā The ratio of the sum of m and n terms of an A.P. is . Show that the ratio mth and nth term is (2m-1) : (2n-1). Ans:Ā Let: First term of given A.P. = , Common difference = , Then, the sums of m and n terms are given by Then, Please do
Q)Ā Ā In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear relations. Different strategies can be used to calculate the number of matchsticks used in different figures. One such pattern is shown below. Observe the pattern and answer the following questions using Arithmetic Progression: (a) Write the AP for
Q)Ā Ā Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do in 31 seconds. 1. Which of the following terms are in AP for the given situationa) 51,53,55ā¦.Ā Ā Ā