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5,25,125 find 10th term

Sagot :

Answer:

9765625

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = 25 ÷ 5 = 125 ÷ 25 = 5

This indicates the sequence is geometric with n th term

[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 r = 5 , then

a₁₀ = 5 × [tex]5^{9}[/tex] = 5 × 1953125 = 9765625