Find the first three terms of the arithmetic series described. a_1=1,a_n=19,S_n=100

Mathematics

1 answer:

Rudik [331]3 years ago

3 0

Answer:

1, 3, 5

Step-by-step explanation:

The sum of an arithmetic series is:

S_n = n (a_1 + a_n) / 2

100 = n (1 + 19) / 2

n = 10

The nth term of an arithmetic sequence is:

a_n = a_1 + d (n − 1)

19 = 1 + d (10 − 1)

d = 2

The common difference is 2. So the first three terms are 1, 3, and 5.

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