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An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant.
An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant.
- b) $a_n = a_1 + nd$
- c) $a_n = a_1 + d$
- d) $a_n = a_1 - (n-1)d$
- a) $a_n = a_1 + (n-1)d$ (correct)
"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?
"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?
- d) 23
- b) 21
- c) 22 (correct)
- a) 20
"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?
"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?
- a) 1, 2, 3, 4, 5, ...
- b) 3, 6, 9, 12, ... (correct)
- d) -2, -4, -6, -8, ...
- c) 0, 1, 2, 3, 4, ...
"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?
"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?
"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?
"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?
