To find the nth term of the arithmetic progression (A.P.) given that the sum of n terms Sn=2n2+5n, we can follow these steps: Step 1: Write the formula for the nth term of an A.P.The nth term an can be calculated using the formula:an=Sn−Sn−1 Step 2: Substitute the ex...
In this article, we will explore the concept of arithmetic progression, the AP formulas to find its nthterm, common difference, and the sum of n terms of an AP. We will solve various examples based on the arithmetic progression formula for a better understanding of the concept. What is Ari...
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Your task is to write a function which returns the sum of following series upto nth term(parameter). Series: 1 + 1/4 + 1/7 + 1/10 + 1/13 + 1/16 +... Rules: You need to round the answer to 2 decimal places and return it as String. If the given value is 0 then it shoul...
The sum of the first n terms of an A P is 4n 2 2n Find the nth term of this A P - Given:The sum of first $n$ terms of an A.P. is $4n^{2} +2n$.To do:We have to find the $n^{th}$ term of the given A.P.Solution:$S_{n} =4n^{2} +...
The formula to find the nth term of an arithmetic progression is given by,an= a + ( n – 1 ) dwhere an = nth term,a = first term,n = position of the termd = common differenceNth Term of Arithmetic ProgressionThe formula an = a + ( n – 1 ) d is used to get the general...
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结果1 题目 Find the sum of the first 15 terms of the sequence whose nth term is given by an = 2n - 1. A. 210 B. 225 C. 240 D. 255 相关知识点: 试题来源: 解析 B。解析:先求出通项公式,再用等差数列求和公式计算可得和为 225。 反馈 收藏 ...
(gp) harmonic progression (hp) a progression is a special type of sequence for which it is possible to obtain a formula for the nth term. the arithmetic progression is the most commonly used sequence in maths with easy to understand formulas. definition 1: a mathematical sequence ...
- The number of terms in the series is \( 2n \). - The sum of the first \( n \) terms of a GP can be calculated using: \( S_n = \frac{a(1 - r^n)}{1 - r} \) - Here, we will use the formula for \( r > 1 \): \( S = \frac{(1 + a)(a c^{n} - 1...