Use the Sum of the First 10 Terms to Approximate $$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 1 + 4 ^ { n } }$$

question 90

Short Answer

Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.
$$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 1 + 4 ^ { n } }$$

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Definitions:

United States

A country located in North America consisting of 50 states and is known for its large size and diverse population.

Petroleum

A naturally occurring, yellowish-black liquid found in geological formations beneath the Earth's surface, commonly refined into various types of fuels.

Opportunity Cost

The cost of choosing one option over another, representing the benefits foregone from not choosing the next best alternative.

SUVs

Sport Utility Vehicles, a category of motor vehicles that combine elements of road-going passenger cars with features from off-road vehicles, like higher ground clearance and four-wheel drive.