Given these two terms in a geometric sequence, find the recursive formula.
a1=4
a6=31104
1 answer:
Answer:
Step-by-step explanation:
Step 1. Determine the common ratio
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
Data:
a₁ = 4
n = 6
a₆ =31 104
Calculation:
31 104 = 4r⁵
r⁵ = 7776
r = 6
aₙ = 4(6)ⁿ
Step 2. Determine the recursive formula.
aₙ = 4(6)ⁿ
aₙ₋₁ = 4(6)ⁿ⁻¹
The recursive formula for the series is
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