Arithmetic Progression Terms calculator

calculator, AP Terms

Calculates AP Series. when the, nth, first and last terms are given.\[a_n= a+d\]

Arithmetic progression series

Arithmetic Progression Series calculator

Arithmetic progression series calculator calculate the AP series when, n-term, first and last terms are given

How To Use Arithmetic Progression Series calculator

nth term

Enter the the nth term of the series

First and last term

Enter the first and last terms on the series

AP Series result

Hit the check mark to get the series for AP

About MathCrave Arithmetic Progression Terms Calculator?

An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant. The terms in an arithmetic progression can be described using a general formula, which helps in quickly identifying the value of any term in the sequence.

This formula is derived by adding the common difference to the first term and multiplying it by the term number minus one. By understanding the concept of arithmetic progression terms, students can easily solve problems related to finding missing terms, determining the sum of a certain number of terms, or even predicting future terms in the sequence.

ap terms formula

Understanding Arithmetic Progression Series, and How it Works, When Nth, First and Last Terms are Given

First Identify and note down the given values:

  • The term number (n)

  • The first term (a1)

  • The last term (l)

Use the formula for the n-th term of an arithmetic progression when the first and the last terms are given, so the arithmetic progression for the nth terms, where the difference 'd' is unknown is computed using

  • a_n= a1 + d

Determine the unknown "d" using the formula below

  • difference, d = first - last term/n+1

Next, substitute the value of d from expression below into the original formula

  • a_n= a1 + d

Generate the next n-terms series using the difference between the last and the first number in the series

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