A sequence of patterns formed by dots and lines is shown below. Find the number of dots. in the \(5^

Question

A sequence of patterns formed by dots and lines is shown below. Find the number of dots. in the $5^{th}$ pattern, in the $n^{th}$ pattern, in terms of $n$. Pattern $m$ has $209$ dots. Find the value of $m$.

Accepted Answer

(a)(i) $21$ dots (a)(ii) $T_n=4n+1$ (b) $m=52$

General Term of a Sequence

General Term of a Sequence

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