Question

Write the infinite series using sigma notation
6 + 6/2 + 6/4 + 6/8 + 6/16 + ... = Σn

Answer 1

The given infinite series 6 + 6/2 + 6/4 + 6/8 + 6/16 + ... can be represented using sigma notation as Σn=1 to infinity 6/(2^(n-1)).

Step-by-step explanation:

The given infinite series 6 + 6/2 + 6/4 + 6/8 + 6/16 + ... can be represented using sigma notation as:

Σ n=1 to infinity 6/(2^(n-1))

This notation indicates that the term in the series starts with n=1 and continues indefinitely. The term involves the number 6 divided by the power of 2 with exponent (n-1). The exponent increases by 1 for each subsequent term.