Given the first term and the common dimerence er an arithmetic sequence how do you find the 52nd term and the explicit formula: a_1=12,d=−20?

Jack Ingram

Jack Ingram

Answered question

2022-10-29

Given the first term and the common dimerence er an arithmetic sequence how do you find the 52nd term and the explicit formula: a 1 = 12 , d = - 20 ?

Answer & Explanation

plomet6a

plomet6a

Beginner2022-10-30Added 20 answers

We can write the nth term of the sequence:
a n = a 1 + d ( n - 1 )
So, we have a n = 12 - 20 ( n - 1 )
To find the 52nd term we now substitute 52 for n:
a 52 = 12 - 20 ( 52 - 1 ) =
= 12 - 20 ( 51 ) = 12 - 1020 = - 1008

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