# Given that the nth term of a sequence is given by the formula 4n+5, what are the first three...

## Question:

Given that the nth term of a sequence is given by the formula 4n+5, what are the first three terms of the sequence?

## Using the general formula to find the nth term in a sequence:

A mathematical sequence is a series of numbers that have a common mathematical pattern. This pattern can then be observed by looking at the relationship of the previous and the succeeding term in a sequence. After a certain pattern is observed, it will then be converted into an algebraic expression which can be used to determine the succeeding terms in a sequence.

\begin{align} 4n + 3& = 4(1) + 3 &\left[\text{Substitution of values}\right]\\[0.2cm] & = 4 + 3\\[0.2cm] & = 7\\[0.2cm] \\[0.2cm] 4n + 3& = 4(2) + 3 &\left[\text{Substitution of values}\right]\\[0.2cm] & = 8 + 3\\[0.2cm] & = 11\\[0.2cm] \\[0.2cm] 4n + 3& = 4(3) + 3 &\left[\text{Substitution of values}\right]\\[0.2cm] & = 12 + 3\\[0.2cm] & = 15\\[0.2cm] \end{align}