Which of the following is the algebraic expression that best describes the sequence 7,14, 21, 28,?

Leroy Gray

Leroy Gray

Answered question

2022-09-12

Which of the following is the algebraic expression that best describes the sequence 7,14, 21, 28,?

Answer & Explanation

London Maldonado

London Maldonado

Beginner2022-09-13Added 13 answers

the terms are the terms of an arithmetic sequence
a , a + d , a + 2 d , ... ... , a + ( n - 1 ) d
where a is the first term and d the common difference
a + ( n - 1 ) d is the n th term
here d = 28 - 21 = 21 - 14 = 14 - 7 = 7
a n = 7 + 7 ( n - 1 ) = 7 n
a n = 7 n generates the terms in the sequence

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