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Question

Find the sum of the infinite series ∑j=1∞(65j−65j+1)\displaystyle\sum_{j=1}^{\infty} \left( \frac{6}{5^j} - \frac{6}{$$5^{j+1}$$} \right) using a geometric series argument.

Accepted Answer

65\frac65

Answer

57\frac57

Answer

75\frac75

Answer

35\frac35

Find the sum of the infinite series ∑j=1∞(65j−65j+1)\(\displaystyle\)\(\sum\)_{j=1}^{\(\infty\)} \(\left\)( \(\frac{6}{5^j}\) - \(\frac{6}{5^{j+1}\)} \(\right\)) using a geometric series argument.

Find the sum of the infinite series $\sum_{j = 1}^{\infty} (\frac{6}{5^{j}} - \frac{6}{5^{j + 1}})$ using a geometric series argument.