For the sequence A

_{n}=2+5*(n-1),the first term is?

the second term is?

the third term is?

the fourth term is?

the fifth term is?

the common difference (d) is?

For the sequence A_{n}=2+5*(n-1),

the first term is?

the second term is?

the third term is?

the fourth term is?

the fifth term is?

the common difference (d) is?

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Olney, MD

Hi Dalia:

A_{n} = 2 + 5*(n-1), where n= 1, 2, 3, ...

The first term occurs when n=1:

A_{1} = 2 + 5(1-1) = 2

The other terms work the same way, just plug in the different values of n (n = 2, 3, 4, 5).

The common difference is just the difference between one term and the next one after it. To compute it, do the following subtraction:

Common Difference = A_{n+1} - A_{n}

where

A_{n+1} = 2 + 5((n+1) - 1) = 5n + 2

A_{n} = 2 + 5(n-1) = 2 + 5n - 5 = 5n - 3

Subtract A_{n} from A_{n+1} to get the answer. Let me know what you get in the comments and I'll let you if it's right.

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