Find the explicit formula for the arithmetic sequence, then find a_14 given a_1=9,d=−5

Lisantiom

Lisantiom

Answered question

2022-09-30

Find the explicit formula for the arithmetic sequence, then find a 14 given a 1 = 9 , d = - 5

Answer & Explanation

Bernard Scott

Bernard Scott

Beginner2022-10-01Added 9 answers

a 1 = 9 , d = - 5
a 2 = a 1 + d = 9 - 5 = 4
a 3 = a 2 + d = a 1 + 2 d = a 1 + ( 3 - 1 ) d = 4 - 5 = - 1
a n = a 1 + ( n - 1 ) d is the explicit formula.
a 14 = a 1 + ( 14 - 1 ) - 5 = 9 - 65 = - 56

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