Posted by
**kassandra** on
.

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.