Answer each of the following questions in one word or one sentence or as per exact requirement o...

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Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
If \( a=1+b+b^{2}+b^{3}+\ldots \) to \( \infty \), then write \( b \) in terms of \( a \) given that \( |b|1 \)
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