Alternating Series Sum to Infinity Question

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Question 5bii

I have trouble with question 5b ii.

So I found the partial sum to be 0.333, 0.111, 0.269, 0.148,

0.246. However, the question asks the series to be less than 0.25.

I do not know how I can explain the answer in the test. How can I answer this after finding the partial sum? Can someone help me? Thank you!