6.
\[
\begin{array}{l}
a_{1}=1 \\
a_{2}=1+2 \\
a_{3}=1+2+3+4 \\
a_{4}=1+2+3+4+\cdots+7+8 \\
\quad \vdots \\
a_{n}=1+2+3+4+\cdots+2^{n=-1}
\end{array}
\]
인 수열 $\left\{a_{\ldots}\right]$ 에 매하여 $\sum_{z=1}^{\pi} a_{z}$ 의 값은? (단.
\[
2^{18}=8102 \text { 이다.) }
\]
2754
(9) $2 \pi 74$
Q 2794
(9) 2614
(5) 2834

Answer

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Answer

$\boxed{11188906}$

Steps

Step 1 ：First, let's find the value of $\pi$. We know that $2^\pi > 8102$.

Step 2 ：$\pi = 13$

Step 3 ：Now that we know the value of $\pi$, we can calculate the sum of the first $2^{(n-1)}$ natural numbers for each $n$ in the range $[1, \pi]$. Then, we can find the sum of these values.

Step 4 ：$\pi = 13$

Step 5 ：$\sum_{z=1}^{\pi} a_{z} = 11188906$

Step 6 ：$\boxed{11188906}$

Answer

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