Answer:
2
Step-by-step explanation:
a_1 = 5
a_6 = 160
a_5 = a_1 * q^5
160 = 5q^5
32 = q^5
q = 2
In geometric sequence it is common to use q instead of d. D is used commonly in arithmetic sequence.
Answer:
d = 80
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 5 and a₆ = 160 , then
5 × [tex]r^{5}[/tex] = 160 ( divide both sides by 5 )
[tex]r^{5}[/tex] = 32 ( take 5th root of both sides )
r = [tex]\sqrt[5]{32}[/tex] = 2
Now d is the 5th term , so
a₅ = d = 5 × [tex]2^{4}[/tex] = 5 × 16 = 80
