(simplify) 7powerN+2 - 3×7powerN+1 upon 20×7powerN (-) 2×7POWER N
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![\frac{ {7}^{n + 2} - 3 \times {7}^{n + 1} }{20 \times {7}^{n} - 2 \times {7}^{n} } \\ \frac{ {7}^{n} \times {7}^{2} - 3 \times 7 \times {7}^{n} }{ {7}^{n}(20 - 2) } \\ \frac{ {7}^{n}(49 - 21) }{ {7}^{n} \times 18 } \\ = \frac{28}{18} = \frac{14}{9} \frac{ {7}^{n + 2} - 3 \times {7}^{n + 1} }{20 \times {7}^{n} - 2 \times {7}^{n} } \\ \frac{ {7}^{n} \times {7}^{2} - 3 \times 7 \times {7}^{n} }{ {7}^{n}(20 - 2) } \\ \frac{ {7}^{n}(49 - 21) }{ {7}^{n} \times 18 } \\ = \frac{28}{18} = \frac{14}{9}](https://tex.z-dn.net/?f=+%5Cfrac%7B+%7B7%7D%5E%7Bn+%2B+2%7D+-+3+%5Ctimes++%7B7%7D%5E%7Bn+%2B+1%7D++%7D%7B20++%5Ctimes++%7B7%7D%5E%7Bn%7D+-+2+%5Ctimes++%7B7%7D%5E%7Bn%7D++%7D+++%5C%5C++%5Cfrac%7B+%7B7%7D%5E%7Bn%7D++%5Ctimes++%7B7%7D%5E%7B2%7D+-+3+%5Ctimes+7+%5Ctimes++%7B7%7D%5E%7Bn%7D++%7D%7B+%7B7%7D%5E%7Bn%7D%2820+-+2%29+%7D++%5C%5C+%5Cfrac%7B+%7B7%7D%5E%7Bn%7D%2849+-+21%29+%7D%7B+%7B7%7D%5E%7Bn%7D+%5Ctimes+18+%7D++%5C%5C++%3D++%5Cfrac%7B28%7D%7B18%7D++%3D++%5Cfrac%7B14%7D%7B9%7D+)
*Answer is 14/9*
Hope it helpe☺!
*Answer is 14/9*
Hope it helpe☺!
ShuchiRecites:
Numerator = 2^n ( 28 )
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