Find the common ratio. a2 = 7; a4 = 1575

 15

Step-by-step explanation:

a₁ = ___, a₂ = 7, a₃ = , a₄ = 1575

a₁(r) = a₂

         a₂(r) = a₃

                   a₃(r) = a₄

To get from a₂ to a₄, you have to multiply by r²

⇒  7r² = 1575

⇒  r² = 225

⇒  r = 15

common ratio r = 15

The n th term of a geometric sequence is

• =

where is the first term and r the common ratio

= r = 7 → (1)

= r³ = 1575 → (2)

divide (2) by (1)

r² = = 225 ⇒ r = = 15

answer is c

step-by-step explanation: