Question

NO LINKS!! Please help me with this problem. Part 5ff​

Answer 1

`a_n=2n+14`

Explanation:

`\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}`

Given:

• a₁ = 16
• d = 2

Substitute the given values into the formula to create an equation for the nth term of the arithmetic sequence:

`\implies a_n=16+(n-1)2`

`\implies a_n=16+2n-2`

`\implies a_n=2n+14`