Question

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

Answer 1

Answer:

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

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

Step-by-step 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

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 :/