Kay's Math: Series- IB Math- Short response

$1\cdot Given\;a\; sequence\;0,sin\pi\;,sin2\pi\;,sin3\pi;.....,sinn\pi\\\\ \;\;a\cdot\;Is\;this\;sequence\;AP\;or\;GP\;?\\\\ \;\;b\cdot\;Does\;this\;sequence\;converge\;?\;If \;so\;find\;the\;sum\;to\;infinity.\\\\$ $2\cdot\; Consider \;the\;terms\;tanx\;,sinx\;,\frac{sin2x}{2}\;,....\\\\ \;\;a\cdot\;Identify\;the\;type\;of\;sequence\;?\\\\ \;\;b\cdot\;Based \;on \;the \;pattern\; of\; terms \;find\; the\; common \;difference \;or \;common \;ratio\\\\ \;\;c\cdot\;Find \;an\; interval\; of\;x\;for\;which\;it\;converge\\\\ 3\cdot\;If\;the\;common\;ratio\;of\;a\;geometric\;progression\;is\;1-cos^{2}x\;find\;the\;possible\;values\;of\;x\;for\;which\;the\;GP\;converge\\\\ 4\cdot Dennis\;plans\;to\;invest \;his\;savings\;in\;two\;financial\;sectors\;\\ Sector\;1\;offers\;an\;interest\;of\; 8.5 \;percent \; compounded annually\\ Sector\;2\;offers\;an\;interest\;of\;8.0 \; percent\;compounded\;half\;yearly\\$

$If\Dennis\; invests\; Rs75000\; for\; five\; years\; which\; sector\; will be \; beneficial\; for\; him ?\\\\ 5\cdot \; If\; the\; first\; and \; second\; terms \; of\; a \; GP\; are\; cosec x \;and\; cotx\; respectively \\\\ a \cdot \; find \;the\;values \; of\; x \;for \;which \;GP \; converges\\ b \cdot \; find \;an \;expression \; for \; sum \; to \; infinity \; in \; terms \; of \; sinx \; and \: sin(x/2)$

Kay's Math

Pages

Thursday, January 2, 2020

Series- IB Math- Short response

No comments:

Post a Comment