Use the recursively defined geometric sequence a1=56 , an=4an−1 and find the common ratio.(1 point)
Responses
4
−2/3
negative Start Fraction 2 over 3 End Fraction
10/3
Start Fraction 10 over 3 End Fraction
5/6
The common ratio can be found by dividing a term by the previous term. Let's calculate it for the second term in the sequence:
a2 = 4(a1) = 4(56) = 224
Now, let's find the common ratio:
r = a2 / a1
r = 224 / 56
r = 4
Therefore, the common ratio for the geometric sequence is 4.