Express the Sum in Sigma Notation $$\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 }$$

question 49

Multiple Choice

Express the sum in sigma notation.
- $$\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 }$$

• A) \(\sum _ { \mathrm { k } = 0 } ^ { 4 } \left( \frac { 1 } { 3 } \right) ^ { \mathrm { k } + 1 }\)
• B) \(\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( \frac { 1 } { 3 } \right) ^ { \mathrm { k } - 1 }\)
• C) \(\sum _ { k = 1 } ^ { 5 } \left( \frac { 1 } { 3 } \right) ^ { \mathrm { k } - 1 }\)
• D) \(\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( \frac { 1 } { 3 } \right) ^ { \mathrm { k } }\)

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Definitions:

Land Rent

Land rent is the payment made for the use of a piece of land, representing the value derived from its use.

Interest Payments

The payments made periodically by a borrower to a lender as compensation for the use of borrowed funds.

Interest Rates

The percentage of a sum of money charged for its use, determining the cost of borrowing money or the return on invested capital.

Compounded Annually

Compounded annually refers to the process of calculating interest on both the initial principal and the accumulated interest from previous periods on a yearly basis.