the first term of an arithmetic sequence is - 3. the common difference is 0.25. which equation can be used…

the first term of an arithmetic sequence is - 3. the common difference is 0.25. which equation can be used to find the nth term of the sequence?\na (a_{n}=0.25(n - 1)-2.75)\nb (a_{n}=0.25(n - 1)-3)\nc (a_{n}=0.25(n + 1)-3)\nd (a_{n}=-0.25(n - 1)-3)

the first term of an arithmetic sequence is - 3. the common difference is 0.25. which equation can be used to find the nth term of the sequence?\na (a_{n}=0.25(n - 1)-2.75)\nb (a_{n}=0.25(n - 1)-3)\nc (a_{n}=0.25(n + 1)-3)\nd (a_{n}=-0.25(n - 1)-3)

Answer

Explanation:

Step1: Recall the formula for nth term

The formula for the nth term of an arithmetic sequence is $a_{n}=a_{1}+(n - 1)d$, where $a_{1}$ is the first - term and $d$ is the common difference.

Step2: Substitute the given values

Given that $a_{1}=-3$ and $d = 0.25$. Substituting these values into the formula, we get $a_{n}=-3+(n - 1)\times0.25$.

Step3: Simplify the expression

$a_{n}=0.25(n - 1)-3$.

Answer:

B. $a_{n}=0.25(n - 1)-3$