Homework Help: math!

Posted by kassandra on Wednesday, October 18, 2006 at 3:31pm.

george entered a function into his calculator andfound the following partail sums
s1=0.0016
s2= 0.0096
s3= 0.0496
s4= 0.2496
s5= 1.2496

determine the genral term of the corresponding sequence

how would I approach this question?

If this is a series then s_n is the sum of the first n terms. So
s₁ = 0.0016 = t₁
s₂ = 0.0016 + t₂ or s₂ - 0.0016 = t₂
s₃ = s₂ + t₃ or s₃ - s₂ = t₃
s₄ = s₃ + t₄ or s₄ - s₃ = t₄

Now determine t₁, t₂, t₃

Then determine what kind of sequence this is, arithmetic or geometric.

Determining the general term should follow fairly quickly.

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