Question

1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....

Answer 1

225 is the answer

Explanation:

hope this help

Answer 2

`\boxed{225}`

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Explanation:

Arithmetic sequence

`Un = a + (n - 1)b`

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First step, find its difference

`b = U_2 - U_1`

`b = 6 - 3`

`b = 3`

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So, we get

`a = 3`

`b = 3`

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Finally, Let's find the 75th term

`U_(75) = 3 + (75 - 1)3`

`U_(75) = 3 + (74)3`

`U_(75) = 3 + 222`

`U_(75) = 225`