anan is the n-th term SnSn is the sum of the first n terms An arithmetic progression (AP) is a sequence of numbers where the difference between consecutive terms is constant. It is widely used in mathem
If Sn denotes the sum of first n terms of an arithmetic progression and an denotes the n^(th) term of the same A.P. given Sn = n^2p ; where p,n in N, then
The sum of the first 6 terms of an arithmetic progression is 39 and the sum of the next 6 terms is -69. Find(a)The first term and the common difference.(b)The sum of all the terms from the 15th term to the 25th term. 相关知识点: ...
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...
Step 2: Use the formula for the sum of the first n terms of an arithmetic progression (AP)The formula for the sum of the first n terms of an AP is given by:Sn=n2×(2a+(n−1)d)where:- Sn is the sum of the first n terms,- a is the first term,- d is the common differe...
Answer to: The arithmetic sequence a_i is defined by the formula: a_1 = -4910 \\a_i = a_{i-1} + 8 Find the sum of the first 575 terms in the...
Summation of firstnthterms: To determine the sum of the firstnthterms of the given series, first of all, we will determine the general term for the series using arithmetic progression formula[an=a+(n−1)×d]then we will use the existing results in order to get the summ...
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...
3 The ninth term of an arithmetic progression is 22 and the sum of the first 4 terms is 49.(1) Find the first term of the progression and the common difference. [4]The nth term of the progression is 46.(ii) Find the value of n. [2] ...
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