How many terms are in an arithmetic seqrence whose first term is -3, common difference is 2, and last term is 23​

Step-by-step explanation:*Step 1: Identify the formula for the nth term of an arithmetic sequence*The formula for the nth term of an arithmetic sequence is given by: $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the number of terms, and $d$ is the common difference.*Step 2: Plug in the given values into the formula*Given that $a_1 = -3$, $d = 2$, and $a_n = 23$, we can plug these values into the formula: $23 = -3 + (n-1)2$.*Step 3: Solve for n*Now, we can solve for n: $23 = -3 + 2n - 2$. Simplifying the equation gives $23 = 2n - 5$. Adding 5 to both sides gives $28 = 2n$. Dividing both sides by 2 gives $n = 14$.The final answer is: $\boxed{14}$

Answered by joycristalmhariecatu | 2025-07-05