Between each pair of terms in this sequence is the amount the sequence is decreasing by. The 𝒏th term refers to a term's position in the sequence, for example, the first term has 𝒏 = 1, the second ...

The first question in the above image is based on the relation of Arithmetic series and Geometric Series. The second question in the above image is based on the formula of sum of geometric series. The ...

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Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...