Find an explicitly-defined equation for the sequence with a_1=4, a_2=8, a_3=12

Aldo Ashley 2022-10-23 Answered
Find an explicitly-defined equation for the sequence with a 1 = 4 , a 2 = 8 , a 3 = 12
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Answers (1)

amilazamiyn
Answered 2022-10-24 Author has 14 answers
a 1 = 4 , a 2 = 8 , a 3 = 12
a 2 - a 1 = 8 - 4 = 4
a 3 - a 2 = 12 - 8 = 4
Hence common difference d=4
It is an Arithmetic Sequence with a 1 = 4 , d = 4
nth term of A.S. is given by a n = a 1 + ( n - 1 ) d where n is a positive integer.
nth term a n = 4 + ( n - 1 ) 4 is the explicitly defined equation of the giver Arithmetic Sequence.
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