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

s

_{1} = 0.0016 = t

_{1}
s

_{2} = 0.0016 + t

_{2} or s

_{2} - 0.0016 = t

_{2}
s

_{3} = s

_{2} + t

_{3} or s

_{3} - s

_{2} = t

_{3}
s

_{4} = s

_{3} + t

_{4} or s

_{4} - s

_{3} = t

_{4}
Now determine t

_{1}, t

_{2}, t

_{3}
Then determine what kind of sequence this is, arithmetic or geometric.

Determining the general term should follow fairly quickly.

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