Question

4,20,100…what is the 10 term

Answer 1

a₁₀ = 7,812,500

Explanation:

there is a common ratio between consecutive terms in the sequence, that is

20 ÷ 4 = 5

100 ÷ 20 = 5

this indicates the sequence is geometric with nth term

`a_(n)` = a₁
`(r)^(n-1)`

a₁ is the first term , r the common ratio , n the term number

here a₁ = 4 , r = 5 and n = 10 , then

a₁₀ = 4
`(5)^(9)` = 4 × 1,953,125 = 7,812,500