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Step-by-step explanation:
again, in a geometric sequence all terms are created by multiplying the previous term by a constant factor.
7640 × f = 764
f = 764/7640 = 1/10
a1 = 7640
a2 = a1 × 1/10 = 7640 × 1/10 = 764
a3 = a2 × 1/10 = a1 × 1/10 × 1/10 = 7640 × 1/100 = 76.4
an = 7640 × (1/10)^(n-1)
a6 = 7640 × (1/10)⁵ = 7640 × 1/100000 = 0.0764