Question

How do you find the sum of terms in and arithmetic sequence?

Answer 1

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

Answer 2

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 :/