When given two values of a sequence find the first term

The video tutorial explains how to calculate terms in a sequence by finding the difference between known terms and using a formula to determine the first term. It also presents an alternative method for finding terms without backtracking to the first term, emphasizing the importance of understanding the formula application.

What is the first step in finding the first term of an arithmetic sequence when given two terms and the common difference?

• Add the two given terms

• Multiply the two given terms

• Subtract the common difference from the larger term

• Plug the known values into the formula

Once you have the first term of an arithmetic sequence, how can you find the next terms?

• Multiply the first term by the common difference

• Subtract the common difference from the first term

• Add the common difference to the first term

• Divide the first term by the common difference

What is the common difference in the sequence if the first term is -2 and the eighth term is 26?

• 5

• 4

• 6

• 3

Why is it sometimes more efficient to find the first term directly from distant terms in a sequence?

• It requires less understanding of the formula

• It provides a more accurate result

• It is the only method available

• It avoids unnecessary calculations

If you know the 81st and 92nd terms of a sequence, what should you do to find the first term?

• Use the formula to calculate backwards

• Guess the first term

• Ignore the first term and find the last term

• Use a calculator to find the first term