Lunarnotes - exams

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "d8c8ef33",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3137aeb7",
   "metadata": {},
   "source": [
    "# FS 2022\n",
    "## Question 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "f0b841ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ln(2): 0.6931471805599453\n",
      "Series: 0.6687714031754279\n",
      "Deviation: 0.9648331868495434 %\n"
     ]
    }
   ],
   "source": [
    "print(f\"ln(2): {np.log(2)}\")\n",
    "\n",
    "partial_sum = 0\n",
    "for k in range(1,21):\n",
    "    partial_sum += ((-1)**(k-1))/k\n",
    "print(\"Series:\", partial_sum)\n",
    "\n",
    "percentace_deviation = partial_sum/np.log(2)\n",
    "print(\"Deviation:\", percentace_deviation, \"%\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1beeed61",
   "metadata": {},
   "source": [
    "# HS 2022\n",
    "## Question 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "86544cd8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9156536770949605\n"
     ]
    }
   ],
   "source": [
    "partial_sum = 0\n",
    "for n in range(0,20):\n",
    "    partial_sum += ((-1)**n)/((2*n + 1)**2)\n",
    "\n",
    "print(partial_sum)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "349c0f46",
   "metadata": {},
   "source": [
    "# HS 2023\n",
    "## Question 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "b6c39bf4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[30, 23, 16, 9, 2, -5, -12, -19, -26, -33, -40, -47, -54, -61, -68, -75, -82, -89, -96, -103, -110, -117, -124, -131, -138, -145, -152, -159, -166, -173, -180, -187, -194, -201, -208, -215, -222, -229, -236, -243, -250, -257, -264, -271, -278, -285, -292, -299, -306, -313, -320, -327, -334, -341, -348, -355, -362, -369, -376, -383, -390, -397, -404, -411, -418, -425, -432, -439, -446, -453, -460, -467, -474, -481, -488, -495, -502, -509, -516, -523, -530, -537, -544, -551, -558, -565, -572, -579, -586, -593, -600, -607, -614, -621, -628, -635, -642, -649, -656, -663, -670, -677, -684, -691, -698, -705]\n"
     ]
    }
   ],
   "source": [
    "list1 = list(range(30,-706,-7))\n",
    "print(list1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "d766ee70",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.0, -1.5, 0.75, -0.375, 0.1875, -0.09375, 0.046875, -0.0234375, 0.01171875, -0.005859375, 0.0029296875, -0.00146484375, 0.000732421875, -0.0003662109375, 0.00018310546875, -9.1552734375e-05, 4.57763671875e-05, -2.288818359375e-05, 1.1444091796875e-05, -5.7220458984375e-06]\n"
     ]
    }
   ],
   "source": [
    "list2 = []\n",
    "for i in range(20):\n",
    "    sequence = (-1)**i * 3/(2**i)\n",
    "    list2.append(sequence)\n",
    "    \n",
    "print(list2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}