Question

Find a28 of the arithmetic sequence given a₁ = 1 and d = -9.A. 242B. 244OC.-242D.-244Reset Selection

Answer 1

`\begin{equation*} -242 \end{equation*}`

OPTION C

Step-by-step explanation

Given;

`\begin{gathered} a=1 \\ d=-9 \end{gathered}`

Recall, the nth term of an arithmetic sequence is calculated using;

`A_n=a+(n-1)d`

Substituting the values;

`\begin{gathered} A_(n)=a+(n-1)d \\ =1+(28-1)-9 \\ =1+27*-9 \\ =1+(-243) \\ =1-243 \\ =-242 \end{gathered}`

The 28th term is -242