Arithmetic Sequences and Their Products

The video tutorial explains how to find the eighth term of a sequence formed by multiplying corresponding terms of two arithmetic sequences. It begins by defining the sequences and their terms, then uses given equations to solve for the eighth term. The process involves calculating values and performing arithmetic operations to reach the final result of 348.

What is the main goal of the problem discussed in the video?

• To determine the eighth term of a sequence

• To calculate the average of sequence terms

• To find the sum of two sequences

• To identify the first term of a sequence

What is the common difference in the first arithmetic sequence?

• B

• M

• A

• N

How is the eighth term of the first arithmetic sequence expressed?

• A + 8M

• A + 7M

• A + 9M

• A + 6M

What is the common difference in the second arithmetic sequence?

• B

• N

• M

• A

How is the eighth term of the second arithmetic sequence expressed?

• B + 6N

• B + 9N

• B + 7N

• B + 8N

What is the product of the first terms of the two sequences?

• 1716

• 1848

• 1440

• 276

What equation is formed by the product of the second terms of the sequences?

• A + M times B + N = 276

• A + M times B + N = 1716

• A + M times B + N = 1440

• A + M times B + N = 1848

What is the value of MN after solving the equations?

• 72

• -72

• 204

• 276

What is the value of AN + BM after solving the equations?

• 276

• 1440

• 204

• 348

What is the final value of the eighth term in the sequence?

• 3876

• 2436

• 348

• 1440