Find the 7th term of the geometric sequence 4, -20, 100, …

Presley Esparza

Presley Esparza

Answered question

2022-09-09

Find the 7th term of the geometric sequence 4, -20, 100, …

Answer & Explanation

Christina Matthews

Christina Matthews

Beginner2022-09-10Added 16 answers

n th term of geometric sequence is T n = a r n - 1 ; a , r , n are the first term , common ratio and requred term respectively.
Here a = 4 , r = - 20 4 = 100 - 20 = - 5 , n = 7 T 7 = 4 ( - 5 ) 7 - 1 or
T 7 = 4 ( - 5 ) 6 = 62500 [Ans]

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