Given: 1/2 ;1/4; 1/8;... ;... ;1/1024

1) explain how the 4th term will be determined. 2) write the formula for the nth term of the sequence. 3) Determine the number of terms of in the sequence.
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(1) Each term is half the previous term. The 4th term is half the 3rd term=(1/2)(1/8)=1/16.

(2) The nth term is 1/2ⁿ or 2⁻ⁿ.

(3) 2⁻ⁿ=1/1024, 2ⁿ=1024, n=10. 10 terms in the series.

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