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3. Suppose the following are true:

1

$₁ = a1 ==

S₂ = a1 + a₂ =

4

25'

S3 = a1 + a2 + a3 =

16

125

S₁ = a₁ + a2 + a3 + as =

64

625

Determine whether an converges or diverges by first finding the general term of its sequence Sy of

n=1

partial sums. If the series converges, then find its sum.

Fig: 1