Question

1. during his first week as a salesman, barney sold 33 products. he challenged himself to sell 3 more products each successive week than he sold the week before. if barney meets his goal with exactly 3 more products each week, how many products does he sell in week 15? a. 145 b. 78 c. 72 d. 75

Explanation:

Step1: Identify arithmetic sequence values

First term $a_1 = 33$, common difference $d = 3$, term number $n = 15$

Step2: Use nth term formula

Arithmetic sequence formula: $a_n = a_1 + (n - 1)d$

Step3: Substitute values and calculate

$$\begin{align*} a_{15}&=33 + (15 - 1)\times3\\ &=33 + 14\times3\\ &=33 + 42\\ &=78 \end{align*}$$

Answer:

B. 78