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?

Tutors, please sign in to answer this question.

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.

- Math 10804
- Sequences 129
- Series 62
- Arithmetic 57
- Geometric 11
- Algebra 5313
- Formula 67
- Algebra 2 3675
- Geometric Sequence 66