Arithmetic Sequences and Their Terms

The video tutorial explains how to find the 46th term of an arithmetic sequence given the 8th term and the common difference. It starts by introducing the problem and explaining the arithmetic sequence formula. The tutorial then demonstrates how to solve for the first term using the given 8th term and common difference. After deriving the general formula for any term in the sequence, the video concludes by calculating the 46th term using this formula.

What is the 8th term of the sequence given in the problem?

• -45

• -4

• 46

• 8

Tags

CCSS.HSF.BF.A.2

What is the common difference in the sequence?

• 4

• -4

• 45

• -45

Tags

CCSS.HSF.BF.A.2

Which formula is used to find the nth term of an arithmetic sequence?

• A sub N = A sub 1 + (n - 1) * D

• A sub N = A sub 1 - n * D

• A sub N = A sub 1 / (n + D)

• A sub N = A sub 1 * n + D

Tags

CCSS.HSF.BF.A.2

How do you find the first term of the sequence?

• By multiplying the 8th term by the common difference

• By subtracting the common difference from the 8th term

• By solving the equation A sub 8 = A sub 1 + 7 * D

• By adding the common difference to the 8th term

Tags

CCSS.HSF.BF.A.2

What is the value of the first term, A sub 1, in the sequence?

• 28

• 7

• -45

• -17

Tags

CCSS.HSF.BF.A.2

What is the simplified formula for A sub N after finding A sub 1?

• A sub N = -13 - 4N

• A sub N = -17 + 4N

• A sub N = -13 + 4N

• A sub N = -17 - 4N

Tags

CCSS.HSF.BF.A.2

What operation is performed to simplify the formula for A sub N?

• Multiplying the first term

• Dividing by the common difference

• Distributing the common difference

• Adding the common difference

Tags

CCSS.HSF.BF.A.2

What is the value of A sub 46?

• -187

• -46

• -184

• -13

Tags

CCSS.HSF.BF.A.2

How is A sub 46 calculated using the formula?

• By adding 46 to the first term

• By subtracting 46 from the first term

• By substituting 46 for N in the formula

• By multiplying 46 by the common difference

Tags

CCSS.7.NS.A.1C

What is the result of the calculation -13 - 184?

• -171

• -184

• -187

• -197

Tags

CCSS.7.NS.A.1C