9 (a) In an arithmetic progression the sum of the first ten terms is 400 and the sum of the next ten terms is 1000. Find the common difference and the first term.[5](b) A geometric progression has first term a. common ratio r and sum to infinity 6. A second geometric progression...
When the first and last terms are given, the formula of the sum of the first n terms of the arithmetic progression is given bySn = n/2 ( first term + last term )For example, let us use the previously given sum of the first 50 natural numbers. Since the given tells that the first...
3 (a) The sum of the first n terms of a sequence is given by S_n=2n^2+3n . Prove that the given sequence is an arithmetic progression. Find the least value of n such that the sum of the first n terms exceeds 2015.[4](b) In an extreme cake-making competition, Kimberley i...
新版gre数学复习重要考点:Sum of Arithmetic Progression The sum of n-numbers of an arithmetic progression is given by S=nx*dn(n-1)/2 where x is the first number and d is the constant increment. example: sum of first 10 positive odd numbers:10*1+2*10*9/2=10+90=100 sum of first 10...
To solve the problem, we need to analyze the sum of the first n terms of an arithmetic progression (A.P.) and derive the required relationships. Let's denote the first term of the A.P. as a and the common difference as d. 1. Sum of the first n terms of an A.P.: The formula...
9 (a) In an arithmetic progression. the sum, S , of the first n terms is given byS_n=2n^2+8n . Find the first term and the common difference of the progression.[3] (b)The first 2 terms of a geometric progression are 64 and 48 respectively. The first 3 terms of the geometric ...
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8 (a) An arithmetic progression has 14 terms. The sum of all the odd terms is 161 and the sum of all even terms is 182. Find the last term of the progression.[3 marks](b) Jay works as a supervisor in a factory. Every subsequent year, his monthly salary is increased by 10%. ...
Struggling with Arithmetic Prog... ? Getfree crash course Text Solution Verified by Experts The correct Answer is:2-2n 14 | ShareSave Answer Step by step video, text & image solution for If the sum of the first n terms of an A.P. is 4n - n ^(2), what is the first term (that...
There are series that can have the finite sum or can have the infinite sum value, and this is dependent on the number of terms in that series. The converging or the diverging series both will follow it. Answer and Explanation:1 Now we know that the sum of the first n natu...