The first term of the progression G.P is 16 and the 4th term is 1024,then the 5th term
1) 8050
2) 5050
3) 4096
4) 6050
Answers
Answer:
The first term of the progression G.P is 16 and the 4th term is 1024,then the 5th term is 4096
5th term = 4096 if The first term of the progression G.P is 16 and the 4th term is 1024
Step-by-step explanation:
The first term of the progression G.P is 16 and the 4th term is 1024
First term = a = 16
Let say Common Ratio = 4
Then nth term is given by = arⁿ⁻¹
=> 4th Term = a * r⁴⁻¹
= ar³
= 16 * r³
4th Term = 1024
=> 16 * r³ = 1024
=> r³ = 64
=> r³ = 4³
=> r = 4
5th Term = a * r⁵⁻¹ = ar⁴ = 16 * 4⁴ = 4096
5th term = 4096
option 3 is correct
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