Question

What is the 23rd term of 0.1,0.15,0.2,0.25what's the explicit equation

Answer 1

Explicit eqaution

`A_n=0.1+0.05(n-1)`

23rd term is

`A_(23)=1.2`

Step-by-step explanation:

The difference between the consecutive terms is 0.05, the first term is 0.1; therefore, the nth term is given by

`A_n=0.1+0.05(n-1)`

The above equation can be verified for the first 4 terms given.

The 23rd term, therefore, is

`\begin{gathered} A_{\mleft\{23\mright\}}=0.1+0.05\mleft(23-1\mright) \\ A_{\mleft\{23\mright\}}=0.1+0.05\mleft(22\mright) \end{gathered}`
`A_(23)=1.2`