Question

What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?

1 1
1
25'5
25,125,625
1 1 1
25'125 '625
O 125, 25, 5
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Answer 1

Answer: 25,125,625

Explanation:

edg 2

Answer 2

The first three terms are: 25, 125 and 625

Explanation:

Given

`a =25; r = 5`

Required

The first three terms

The nth term of a geometry progression is:

`T_n =ar^{n-1`

So, we have:

First term:
`n = 1`

`T_n =ar^{n-1`

`T_1 =25 * 5^{1-1`

`T_1 =25 * 5^0`

`T_1 =25 * 1`

`T_1 =25`

Second term:
`n = 2`

`T_n =ar^{n-1`

`T_2 =25 * 5^{2-1`

`T_2 =25 * 5^{1`

`T_2 =25 * 5`

`T_2 =125`

Third term:
`n = 3`

`T_n =ar^{n-1`

`T_3 =25 * 5^{3-1`

`T_3 =25 * 5^{2`

`T_3 =25 * 25`

`T_3 =625`