Question:
Letsn=1+q+q2+.................+qnandTn=1+(q+12)+(q+12)2+.........(q+12)nwhere q is a real number and q≠1.If101C1+101C2.S1+......+101C101.S100=αT100,thenαis equal to :-2100200299202Letsn=1+q+q2+.................+qnandTn=1+(q+12)+(q+12)2+.........(q+12)nwhere q is a real number and q≠1.If101C1+101C2.S1+......+101C101.S100=αT100,thenαis equal to :-2100200299202sn=1+q+q2+.................+qnsn=1+q+q2+.................+qnsn=1+q+q2+.................+qnsnsssnnn==11++qq++q2qqq222++..................................++qnqqqnnnTn=1+(q+12)+(q+12)2+.........(q+12)nTn=1+(q+12)+(q+12)2+.........(q+12)nTn=1+(q+12)+(q+12)2+.........(q+12)nTnTTTnnn==11++(q+12)((q+12q+12q+12q+12q+1q+1qq++11222))++(q+12)2(q+12)(q+12)((q+12q+12q+12q+12q+1q+1qq++11222))222++..................(q+12)n(q+12)(q+12)((q+12q+12q+12q+12q+1q+1qq++11222))nnn≠≠≠≠≠101C1+101C2.S1+......+101C101.S100=αT100,thenα101C1+101C2.S1+......+101C101.S100=αT100,thenα101C1+101C2.S1+......+101C101.S100=αT100,thenα101101101101101101C1CCC111+101+++101101101101101C2C2C2CCC222..S1SSS11111++............+101+++101101101101101C101CCC101101101101101..S100SSS100100100100100==ααT100TTT100100100100100,,tthheennαα210021002100210021002221001001001001002002002002002002002992992992992992229999999999202202202202202202A2992992992992992992229999999999B210021002100210021002100222100100100100100C200200200200200200200D202202202202202202202?