3 years ago

5,25,125 find 10th term

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

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

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = 5 , then

a₁₀ = 5 × $5^{9}$ = 5 × 1953125 = 9765625

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