Question

8/10
what is the 100th term of an arithmetic sequence starting with 4 and a common difference of 3?
301
304
310

Explanation:

Step1: Recall arithmetic sequence formula

The nth term of an arithmetic sequence is given by $a_n = a_1 + (n-1)d$, where $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.

Step2: Identify given values

Here, $a_1 = 4$, $n = 100$, $d = 3$.

Step3: Substitute values into formula

$a_{100} = 4 + (100-1)\times3$

Step4: Simplify the expression

First calculate $100-1=99$, then $99\times3=297$, finally $4+297=301$.

Answer:

A. 301