math!
posted by kassandra
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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