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boyakko [2]
3 years ago
10

Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul

a. a1=4 r=5
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
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