Write an expression to describe $$ t $$ in the sequence, where $$ n=1 $$ for $$ 55,110,165,220, \ldots $$ $$ a_{n}=\square $$ Submit

Question

UpStudy AI · Accepted Answer

The given sequence is:

$$ 55, 110, 165, 220, \ldots $$

This is an **arithmetic sequence** where each term increases by a common difference. Let's identify the components:

- **First term ($$ a_1 $$)**: 55
- **Common difference ($$ d $$)**: $$ 110 - 55 = 55 $$

The general formula for the $$ n $$-th term of an arithmetic sequence is:

$$
a_n = a_1 + (n - 1) \cdot d
$$

Substituting the known values:

$$
a_n = 55 + (n - 1) \cdot 55
$$

Simplifying:

$$
a_n = 55n
$$

**Therefore, the expression for the $$ n $$-th term $$ a_n $$ is:**

$$
a_n = 55n
$$
The $$ n $$-th term $$ a_n $$ is $$ 55n $$.

Write an expression to describe
in the sequence, where for

Submit