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What is Arithmetic Progression ?

ଆରିଥମେଟିକ୍ ପ୍ରଗତି (AP) ହେଉଛି ସଂଖ୍ୟାଗୁଡ଼ିକର କ୍ରମ ଯେଉଁଥିରେ କ୍ରମାଗତ ଦୁଇଟି ସଂଖ୍ୟାର ପାର୍ଥକ୍ୟ ଏକ ସ୍ଥିର ମୂଲ୍ୟ | ଉଦାହରଣ ସ୍ୱରୂପ, ପ୍ରାକୃତିକ ସଂଖ୍ୟାଗୁଡ଼ିକର କ୍ରମ: 1, 2, 3, 4, 5, 6,… ହେଉଛି ଏକ AP, ଯାହାର ଦୁଇଟି କ୍ରମାଗତ ଶବ୍ଦ (1 ଏବଂ 2 କୁହନ୍ତୁ) ମଧ୍ୟରେ ସମାନ ପାର୍ଥକ୍ୟ 1 (2 -1) ସହିତ ସମାନ | ଅଦ୍ଭୁତ ସଂଖ୍ୟା ଏବଂ ଏପରିକି ସଂଖ୍ୟା କ୍ଷେତ୍ରରେ ମଧ୍ୟ, ଆମେ ଦେଖିପାରିବା ଦୁଇଟି କ୍ରମାଗତ ଶବ୍ଦ ମଧ୍ୟରେ ସାଧାରଣ ପାର୍ଥକ୍ୟ 2 ସହିତ ସମାନ ହେବ |

Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value. For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an AP, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 -1). Even in the case of odd numbers and even numbers, we can see the common difference between two successive terms will be equal to 2.

In mathematics, there are three different types of progressions. They are:

• Arithmetic Progression (AP)
• Geometric Progression (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. Let’s have a look at its three different types of definitions.

Definition 1: A mathematical sequence in which the difference between two consecutive terms is always a constant and it is abbreviated as AP.

Definition 2: An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, the second number is obtained by adding a fixed number to the first one.

Definition 3: The fixed number that must be added to any term of an AP to get the next term is known as the common difference of the AP. Now, let us consider the sequence, 1, 4, 7, 10, 13, 16,… is considered as an arithmetic sequence with common difference 3.

ସମାନ୍ତର ପ୍ରଗତି में two exercise हैं में निचे इस question का answer दे दिया हु डाउनलोड करें और उसे प्रैक्टिस करें .