5 Questions
An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant.
a) $a_n = a_1 + (n-1)d$
"An arithmetic progression with a common difference of 2 can be written as 5, 7, 9, 11, 13, 15, ..." What is the 10th term of this arithmetic progression?
c) 22
"A finite portion of an arithmetic progression is called a finite arithmetic progression." Which of the following is an example of a finite arithmetic progression?
b) 3, 6, 9, 12, ...
"The sum of a finite arithmetic progression is called an arithmetic series." What is the sum of the arithmetic series 2 + 5 + 8 + 11 + 14?
c) 45
"According to an anecdote of uncertain reliability, young Carl Friedrich Gauss discovered a clever trick to find the sum of an arithmetic series." What is the sum of the arithmetic series 1 + 2 + 3 + ... + 100?
c) 5050
Test your knowledge of arithmetic progressions and common differences with this quiz! Challenge yourself to identify the common difference and determine if a given sequence qualifies as an arithmetic progression.
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