171k views
4 votes
How do you find the sum of terms in and arithmetic sequence?

User NickL
by
8.7k points

2 Answers

4 votes

Answer:

There is a formula: a_n = d + a_n-1

in general for the nth term: a_n = (n - 1) *d + a_1

Explanation:

in general for the nth term: a_n = (n - 1) *d + a_1

where a_1 is the first term in the sequence.

a_n is the nth term in the sequence

d = common difference

where d = difference a_n - a_n-1

for example in the arithmetic sequence: 1, 2, 3, 4, 5, 6, 7

the common difference is 1

a_1 = 1

and a_n = n for is an integer >= 1

User Masoudmanson
by
7.7k points
5 votes

Answer:

The sum of an arithmetic series is found by multiplying the quantity of terms times the typical of the primary and last terms. Example: 3 + 7 + 11 + 15 + ··· + 99 has a1 = 3 and d = 4. To find n, use the specific formula for an arithmetic sequence.

Step-by-step explanation:

in hopes of this helping :/

User Klaas Leussink
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories