What do you call the sum of the first n terms of the sequence a1 a2 a3 An?

geometric series
The sum of the first n terms of a geometric sequence is called geometric series. Example 1: Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.

What is the sum of the first n terms of a sequence?

The sum of the first n terms of an arithmetic sequence is called an arithmetic series .

What is n in the nth term formula?

The nth term is a formula that enables us to find any term in a sequence. The ‘n’ stands for the term number.

What does a1 mean in math?

. The notation 1ail implies that we have a sequence whose first term is a1, the second term is a2, the third term is a3…etc. The index i starts from 1 (or any other positive integer) and increases by 1 each time to represent each subsequent term in the sequence.

What is the sum of the first n terms of arithmetic series?

where n is the number of terms, a 1 is the first term and a n is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series. Example 1: Find the sum of the first 20 terms of the arithmetic series if a 1 = 5 and a 20 = 62.

How to find the sum of first MN terms of an AP?

If mth term of an AP is 1/n and nth term is 1/m then find the sum of its first mn terms. If mth term of an AP is 1/n and nth term is 1/m then find the sum of its first mn terms. Let a be first term and d be the common difference of an AP. = a+(m−1)d = 1/n ………

How do you find the nth term from partial sum?

Partial sums: formula for nth term from partial sum. The partial sum of a sequence gives as the sum of the first n terms in the sequence.

How do you find the sum of a sequence of numbers?

Suppose a sequence of numbers is arithmetic (that is, it increases or decreases by a constant amount each term), and you want to find the sum of the first n terms. Denote this partial sum by S n . Then S n = n ( a 1   +   a n ) 2 ,