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3 years ago

Find the 10th and nth term of each G.P.:5,25,125,.....

Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

Answer:

The $n^{th}$ of the sequence

$t_{n} = ar^{n-1}$

The $10^{th}$ of the sequence

$t_{10} = 5(5)^{10-1} = 9,765,625$

Step-by-step explanation:

Explanation:-

Given that the geometric sequence

5, 25 , 125 ,....

First-term a= 5

Difference $r = \frac{25}{5} =5$

The $n^{th}$ of the sequence

$t_{n} = ar^{n-1}$

The $10^{th}$ of the sequence

$t_{10} = 5(5)^{10-1} = 9,765,625$

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Find the 10th and nth term of each G.P.:5,25,125,.....​

Find the 10th and nth term of each G.P.:5,25,125,.....