Question

the year of the birth of the personality in problem 30 31 corresponds to the result of the following expression what is it​

Answer 1

Respuesta:

The year of birth of the character in problem 30-31 is 1879

We have two sequences:

S1 = (11,19,27, ... 99)

S2 = (4,5,6, ... 19)

We are going to look for the general term of each sequence:

S1n = 11 + 8 · (n-1) = 11 + 8n - 8 = 3 + 8n

S2n = 4 + 1 · (n-1) = 4 + n - 1 = n + 3

With these terms we look for the location of the last number of the sum:

3 + 8n = 99

8n = 96

n = 12; the sum goes up to position 12

n + 3 = 49

n = 46; the sum goes up to position 46

The sum of an arithmetic sequence is defined as:

Su = n (a1 + an) / 2

We look for the sum for each sequence:

Su1 = (12) · (11 + 99) / 2 = 660

Su2 = (46) · (4 + 49) / 2 = 1219

If we add and get that:

Year = 660 + 1219

Year = 1879