Q. 48 - Calculus

Question

Write each of the arithmetic sequences in Exercises 47–50 in the form $\{c+dk{\}}_{k=0}^{\infty }$

$-6,-7.1,-8.2,-9.3,\dots$

Step-by-Step Solution

Answer

The required form is $\{-6-1.1k{\}}_{k=0}^{\infty }$

Step 1. Given information.

The given series is $-6,-7.1,-8.2,-9.3,\dots$

Step 2. Required form.

On comparing the given series with$\{c,c+d,c+2d,\dots \}$, we get,

$$\begin{gathered} c=-6 \\ d=-7.1+6 \\ =-1.1 \end{gathered}$$

Therefore,

$\{c+dk{\}}_{k=0}^{\infty }\text{ can be written as }\{-6-1.1k{\}}_{k=0}^{\infty }.$