project323.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The answer is : 6.3551758451"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.special import binom\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calcul(n):\n",
    "    s=1\n",
    "    p=1\n",
    "    q=2\n",
    "    for j in range(1,n+1):\n",
    "        s+=binom(n,j)*p/(q-1)\n",
    "        p*=-1\n",
    "        q*=2\n",
    "    return s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b9ab49dc69b14f1a92d6a273d5c21595",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "L= [calcul(n) for n in range(10,70)]\n",
    "plt.plot(range(10,70),L)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}