Explicit Formulas For Geometric Sequences

Explicit formulas for geometric sequences

Description
Practice Proper name:	Explicit formulas for geometric sequences
Math Missions:	Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission, Precalculus Math Mission, Mathematics Three Math Mission
Types of Issues:	ii

The Explicit formulas for geometric sequences practise appears under the Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission, Precalculus Math Mission and Mathematics Iii Math Mission. This do increases familiarity with the explicit formula for geometric sequences.

Types of Problems

There are 2 types of problems in this exercise:

Determine who wrote the right formula: This trouble provides two proposed explicit formulas for an geometric sequence. The student is asked to determine which, if either, of the formulas are correct based on the given information.

Determine who wrote the right formula
Decide the explicit formula: This problem provides an geometric sequence given in some form similar a table or by listing terms. The student is asked to write a correct explicit formula in the space provided.

Determine the explicit formula

Strategies

Knowledge of the geometric sequence and series formulas are encouraged to ensure success on this practise.

The nth term of an geometric sequence is given past ${g_{n}=g_{1}\times r^{(n-1)}}$ .
The formula does not need to be distributed or simplified on this exercise to be considered correct.
The formulas provided in Make up one's mind who wrote the right formula tin can oftentimes be adamant past plugging in 1 and seeing which formula yields the correct effect.

Existent-life Applications

Sequences and series are common problem on IQ tests.
Sequences and series are a large portion of 2nd semester (BC) calculus.
The beginning problem type in this practise can exist considered a real-life application in the context of teachers and presenters.
Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra likewise has countless applications in the real globe.