232k views
2 votes
Find the sum of the finite geometric series: 5 + 10 + 20 + ... +81,920.

User Awongh
by
4.3k points

1 Answer

1 vote

Answer:

No solution

Explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, a n +a1 ⋅ r n -1

Geometric Sequence: r = 2

The series given has a value of r such that r > 1 or r < − 1. Therefore, the infinite sum cannot be calculated.

User Faruk Toptas
by
4.5k points