Question

Напишите общий член последовательности: 1, 7, 13, 19, ... ;

Answer 1

.......................число 6

Answer 2

General Term of the Sequence: 1, 7, 13, 19, ...

To find the general term of the sequence 1, 7, 13, 19, ..., we need to identify the pattern or rule that governs the sequence. By observing the given numbers, we can see that each term is obtained by adding 6 to the previous term.

Therefore, the general term of the sequence can be expressed as:

a_n = a₁ + (n - 1)d

Where: - a_n represents the nth term of the sequence. - a₁ represents the first term of the sequence. - n represents the position of the term in the sequence. - d represents the common difference between consecutive terms.

In this case, the first term (a₁) is 1, and the common difference (d) is 6.

Substituting these values into the formula, we get:

a_n = 1 + (n - 1)6

Simplifying further:

a_n = 1 + 6n - 6

a_n = 6n - 5

Therefore, the general term of the sequence 1, 7, 13, 19, ... is 6n - 5.

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