Arithmetic and Geometric Series and Their Sums
Sequence - a set of numbers, called terms, arranged in a particular order.
Series - An indicated sum of the terms of a sequence.
Sum of a Finite Arithmetic Series:
The sum of the first series is:
n terms of an arithmetic Sum of a Finite Geometric Series:
The sum of the first series is:
n terms of a geometric where r is the common ratio and r
Find the sum of 3 + 9 + 27 + ... + 6561
≠1
Find the sum of the first integers in terms of n.
n positive even Find the sum of all positive 3-digit integers that are divisible by 8.
Show that
The originator of a chain leer writes 5 leers, instrucng each recipient to write 5 similar leers to addional people. Then these people each send 5 similar leers to other people. Determine the number of people who should receive leers if the chain connues unbroken for 12 steps. Explain why the process always fails.