In the geometric sequence: 5, a, b, c, d, 160, find the value of d

d = 80

Step-by-step explanation:

The nth term of a geometric sequence is

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = 5 and a₆ = 160 , then

5 × = 160 ( divide both sides by 5 )

= 32 ( take 5th root of both sides )

r = = 2

Now d is the 5th term , so

a₅ = d = 5 × = 5 × 16 = 80