SOLUTION: (1) Prove that in any arithmetic series of which the first term is a and where the constant difference is d,the sum of the n terms is given by Sn=n/2[2.a+(n-1)d] Please can get

SOLUTION: (1) Prove that in any arithmetic series of which the first term is a and where the constant difference is d,the sum of the n terms is given by Sn=n/2[2.a+(n-1)d] Please can get

Algebra.Com

Question 1140769: (1) Prove that in any arithmetic series of which the first term is a and where the constant difference is d,the sum of the n terms is given by Sn=n/2[2.a+(n-1)d]
Please can get help with this Q
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
See the lessons
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site and find the proofs in the first two lessons of this list.

RELATED QUESTIONS
The Question: "The nth term of a series is {{{ (1/2)(2n-1) }}}. Write down the (n+1)th (answered by stanbon)

What is the common difference of a 43-term arithmetic sequence where the first term is... (answered by reviewermath)

I've got this problem (see below). I've worked through problems 1b - 1d, but I am stuck... (answered by stanbon)

The partial sum in the arithmetic series with first term 17 and a common difference of 3... (answered by ikleyn)

The first term of an arithmetic series is (5+3k), where k is a positive integer. The last (answered by stanbon)

Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,�to find the following: a)What is... (answered by sarah_adam)

Find the sum of the series 1+3.5+6+8.5+......+101 Find the sum of the first 23 term of... (answered by Edwin McCravy,ikleyn)

The sum of an arithmetic series is 1356 and the first term is -1. If the common... (answered by jrfrunner)

I asked this question before, but I did not get all the parts to the uestion posted for... (answered by longjonsilver)