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| 1. |
Which term of the sequence 20,77/4,37/2,67/4 is the 1st negative term\xa0\xa0\xa0 |
| Answer» For the first negative term,an < 0{tex}20 + (n - 1) \\cdot \\left( {\\frac{{ - 3}}{4}} \\right) < 0{/tex}\xa0{tex}\\left[ {\\because d = \\frac{{77}}{4} - 20 = \\frac{{ - 3}}{4}} \\right]{/tex}{tex} \\Rightarrow \\frac{{20}}{1} - \\frac{3}{4}n + \\frac{3}{4} < 0{/tex}{tex} \\Rightarrow \\frac{{80 - 3n + + 3}}{4} < 0{/tex}{tex} \\Rightarrow 83 - 3n < 0{/tex}{tex} \\Rightarrow - 3n < - 83{/tex}{tex} \\Rightarrow n > \\frac{{83}}{3}{/tex}28th term is first negative term. | |