# Question of the Day

## Can you answer today's question?

Next Tests:
10/3 , 11/7

Jul
6
2015
3,404 responses
Number Answered 1,683 1,721
49% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

, , ,, ...

The first four terms of a sequence are shown above. Which of the following could be the formula that gives the th term of this sequence for all positive integers ?

Answer Choices

#### Hint

If a formula gives the th term of the sequence for all positive integers , it must give the th term of the sequence for and .

# Question of the Day

## Can you answer today's question?

Next Tests:
10/3 , 11/7

Jul
6
2015
3,404 responses
Number Answered 1,683 1,721
49% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

, , ,, ...

The first four terms of a sequence are shown above. Which of the following could be the formula that gives the th term of this sequence for all positive integers ?

Answer Choices

#### Answer

If a formula gives the th term of the sequence for all positive integers , it must give the th term of the sequence for . If , then and , but the first term of the sequence is , so the general formula cannot be or . Also, if , then and , but the third term of the sequence is , so the general formula cannot be or . However, for , the values of are , , , , respectively. Therefore, the general formula for this sequence could be .