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Answer:
Explicit eqaution
[tex]A_n=0.1+0.05(n-1)[/tex]23rd term is
[tex]A_{23}=1.2[/tex]Explanation:
The difference between the consecutive terms is 0.05, the first term is 0.1; therefore, the nth term is given by
[tex]A_n=0.1+0.05(n-1)[/tex]The above equation can be verified for the first 4 terms given.
The 23rd term, therefore, is
[tex]\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}[/tex][tex]A_{23}=1.2[/tex]