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Q: Arithmetic progression Find the 1st term of the series?
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The 7th term of an arithmetic progression is 6 The sum of the first 10 terms is 30 Find the 5th term of the progression?

2


Which term is the first negative term of the arithmetic progression 242016?

-4 is the first negative term. The progression is 24,20,16,12,8,4,0,-4,...


Difference between AP series GPs reis?

AP - Arithmetic ProgressionGP - Geometric ProgressionAP:An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:and in generalA finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.The behavior of the arithmetic progression depends on the common difference d. If the common difference is:Positive, the members (terms) will grow towards positive infinity.Negative, the members (terms) will grow towards negative infinity.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways:Adding both sides of the two equations, all terms involving d cancel:Dividing both sides by 2 produces a common form of the equation:An alternate form results from re-inserting the substitution: :In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18) .[1]So, for example, the sum of the terms of the arithmetic progression given by an = 3 + (n-1)(5) up to the 50th term isGP:A GP is a geometric progression, with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1 / 2.Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queuing theory, and finance.


Is 15 26 37 48 59 an arithmetic sequence?

It is an Arithmetic Progression with a constant difference of 11 and first term 15.


Formula to find out the sum of n terms?

It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.


8th termof an arithematic progression is16 what is its 12th term?

Any number you like. You need two terms to uniquely identify an arithmetic progression.


A sequence in which each term is multiplied by the same value to get the next term?

This is referred to as a geometric progression - as opposed to an arithmetic progression, where each new number is achieved via addition or subtraction.


How to find the 5th term in an arithmetic sequence using the explicit rule?

Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d


What is the sum of the first 15 terms of an arithmetic?

For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.


What Find the 90th term of the arithmetic sequence 16,21,26?

The 90th term of the arithmetic sequence is 461


What term refers to the arithmetic average of a series of numbers?

The mean


What is the 58th term of the arithmetic series 104-2?

104-2 does not define a series.