Use the recursively defined geometric sequence a1=56 𝑎 1 = 5 6 , an=4an−1 𝑎 𝑛 = 4 𝑎 𝑛 − 1 and find the common

Question

Use the recursively defined geometric sequence a1=56
𝑎
1
=
5
6
, an=4an−1
𝑎
𝑛
=
4
𝑎
𝑛
−
1
 and find the common ratio.(1 point)
Responses

56
5
6
Start Fraction 5 over 6 End Fraction

4
4

−23
−
2
3
negative Start Fraction 2 over 3 End Fraction

103

GPT-5 mini · Answer

The common ratio is 4.

Explanation: the recursion an = 4·a(n−1) multiplies each term by 4, so r = 4.

Use the recursively defined geometric sequence a1=56
𝑎
1
=
5
6
, an=4an−1
𝑎
𝑛
=
4
𝑎
𝑛
−
1
and find the common ratio.(1 point)
Responses

56
5
6
Start Fraction 5 over 6 End Fraction

4
4

−23
−
2
3
negative Start Fraction 2 over 3 End Fraction

103

All Answers 1

Submit Your Answer

Use the recursively defined geometric sequence a1=56 𝑎 1 = 5 6 , an=4an−1 𝑎 𝑛 = 4 𝑎 𝑛 − 1 and find the common ratio.(1 point) Responses 56 5 6 Start Fraction 5 over 6 End Fraction 4 4 −23 − 2 3 negative Start Fraction 2 over 3 End Fraction 103

All Answers 1

Submit Your Answer

Use the recursively defined geometric sequence a1=56
𝑎
1
=
5
6
, an=4an−1
𝑎
𝑛
=
4
𝑎
𝑛
−
1
and find the common ratio.(1 point)
Responses

56
5
6
Start Fraction 5 over 6 End Fraction

4
4

−23
−
2
3
negative Start Fraction 2 over 3 End Fraction

103