Question

Use the explicit formula to find rhe 300th term of the sequence below.

Answer 1

We want to use the explicit formula below to find the 300th term of the sequence

`\begin{gathered} a_n=a_1+(n-1)d \\ where\text{ a}_(300)=? \\ a_1=first\text{ term = 57} \\ n=number\text{ of terms = 300} \\ d=common\text{ difference = 66 - 57 = 75 - 66 = 9} \end{gathered}`

Applying we have

`\begin{gathered} a_(300)=57+(300-1)9 \\ =57+(299)9 \\ =57+2691 \\ =2748 \end{gathered}`

Hence option C is the answer