Arithmetic Sequences and Sums

The video tutorial explains how to evaluate sigma notation by calculating the sum of arithmetic series. It provides two examples: one with positive coefficients and another with negative coefficients. The tutorial demonstrates the use of the formula for the sum of an arithmetic sequence and highlights the importance of identifying the common difference. The video concludes with a summary of the key points covered.

What is the first term in the series when K equals 1 for the expression 4 plus 3K?

• 4

• 10

• 7

• 3

What is the common difference in the arithmetic sequence 4 plus 3K?

• 10

• 7

• 3

• 4

How do you calculate the common difference in an arithmetic sequence?

• Divide the last term by the first term

• Multiply the first term by the common difference

• Subtract any term from the previous term

• Add the first and last terms

What is the sum of the first 23 terms of the sequence 4 plus 3K?

• 1120

• 9120

• 912

• 920

What is the common difference in the arithmetic sequence negative 8 minus 7K?

• -8

• 8

• -7

• 7

What is the first term in the series when K equals 1 for the expression negative 8 minus 7K?

• -8

• -22

• -7

• -15

What is the last term in the series when K equals 40 for the expression negative 8 minus 7K?

• -22

• -15

• -280

• -288

How do you find the sum of an arithmetic sequence?

• Subtract the last term from the first term

• Add all the terms together

• Use the formula n/2 times the sum of the first and last terms

• Multiply the first term by the number of terms

What is the sum of the first 40 terms of the sequence negative 8 minus 7K?

• -15

• -288

• -303

• -660

What is the formula for the sum of the first n terms of an arithmetic sequence?

• n plus the last term

• n/2 times the sum of the first and last terms

• n minus the first term

• n times the first term