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=25, d=6?

Hallie Stanton

Hallie Stanton

Answered question

2022-11-12

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 = 25 , d = 6 ?

Answer & Explanation

kavdawg8w8

kavdawg8w8

Beginner2022-11-13Added 20 answers

the nth term of an arithmetic sequence is
x a n = a + ( n - 1 ) d
where a is the first term and d the common difference
here a = a 1 = 25 and d = 6
a n = 25 + 6 ( n - 1 )
a n = 25 + 6 n - 6
a n = 6 n + 19
a 52 = ( 6 × 52 ) + 19 = 331

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