Two Plus Six Plus Another Then Plus Another

Algebra Level 4

2+64100+2+2×6499+2+3×6498++2+100×64 \frac {2+6}{4^{100}} + \frac {2+2 \times 6}{4^{99}} + \frac {2+ 3 \times 6}{4^{98}} + \cdots + \frac {2+ 100 \times 6}{4}

Evaluate the above expression.

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