( BANDEIRANTES – SP) O valor do 22º termo de uma PG que tem a1 = q = √2 é:? heeelllpppp :)
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Usando a fórmula do termo geral:
![a_n=a_1*q^{n-1}\\
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a_{22}=\sqrt2*(\sqrt{2})^{21}=(\sqrt{2})^{22}=[(\sqrt2)]^{11}=2^{11}=2048](https://tex.z-dn.net/?f=a_n%3Da_1%2Aq%5E%7Bn-1%7D%5C%5C%0A%5C%5C%0Aa_%7B22%7D%3D%5Csqrt2%2A%28%5Csqrt%7B2%7D%29%5E%7B21%7D%3D%28%5Csqrt%7B2%7D%29%5E%7B22%7D%3D%5B%28%5Csqrt2%29%5D%5E%7B11%7D%3D2%5E%7B11%7D%3D2048 "a_n=a_1*q^{n-1}\\
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a_{22}=\sqrt2*(\sqrt{2})^{21}=(\sqrt{2})^{22}=[(\sqrt2)]^{11}=2^{11}=2048")
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