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Jim Ho · Answer 1 · 2023-07-20T07:55:06+0000

The given sequence is 2,6,10,16,...

To obtain an expression for the general expression for the nth term, we will use the formula:

$\begin{gathered} T_n=a+(n-1)d \\ WhereT_(n=)the\text{ nth term, a = the first term, n = the nth position in the series, d = the common difference,} \\ a=2,\text{ d = 6-2 =4 } \\ T_n=2+(n-1)4 \\ T_n=2+4n-4 \\ T_n=4n-2 \end{gathered}$

Thus, the nth term is Tn= 4n - 2.

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