1 + 1/6 + 1/11 + 1/16 +1/21
The answer key tells me that the pattern in the denominator is 5x-4. Can someone explain how to find the pattern in this series?
Hello, aaronb!
Obviously, we examine the denominators: .
The answer key tells me that the pattern in the denominator is .
Can someone explain how to find the pattern in this series?
Equally obvious is the fact that they "go up by 5."
This is an Arithmetic Sequence with first term and common difference
You're expected to the general term of an A.S.: .
Hence, we have: .