If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$

question 127

Essay

If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$ and $a > 0$ , determine the value of a.

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Definitions:

Full Amount

The total, complete sum of money owed or required in a transaction.

Accommodation Party

A person who signs a negotiable instrument on behalf of another, guaranteeing payment without receiving any personal benefit.

Primary Liability

The main or direct obligation to repay a debt or fulfill a contractual duty, without relying on secondary sources for payment.

Maker

In legal and financial contexts, it refers to the person who creates or signs a promissory note, thus agreeing to pay the note's value.