What is the value when n=6 in the geometric sequence defined by a_n=2⁢(4)^n−1 ?

The exponent is n − 1, so substitute n = 6: a₆ = 2(4)^(6 − 1) = 2(4⁵). Since 4⁵ = 1,024, a₆ = 2 × 1,024 = 2,048. The correct choice is 2,048.

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