Question

Find the nth term for the arithmetic sequence below -4,-14,-24,-34,…

Answer 1

As given by the question

There are given that the sequence:

$-4,\text{ -14, -24, -34, }\ldots$

Now,

From the given sequence,

$\begin{gathered} a_1=-4 \\ d=-14-(-4) \\ =-14+4 \\ =-10 \end{gathered}$

Then,

From the formula:

$a_n=a_1+(n-1)d$

Then,

$\begin{gathered} a_n=a_1+(n-1)d \\ a_n=-4_{}+(n-1)(-10) \\ a_n=-4_{}+(-10n+10) \\ a_n=-4_{}-10n+10 \\ a_n=-10n+6 \end{gathered}$

Hence, the nth term for the arithmetic sequence is shown below:

$a_n=-10n+6$