Finding the sum or an arithmetic series using summation notation

Finding the sum or an arithmetic series using summation notation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the sum of a sequence using a specific formula. It begins with an introduction to the sum formula, followed by a breakdown of the problem and the notation involved. The teacher then demonstrates how to apply the formula to find the first and last terms of a sequence. Finally, the video provides a step-by-step guide to calculating the sum, including simplifying fractions and multiplying terms.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general formula for finding the sum of a sequence?

s(n) = n * (a1 + an)

s(n) = n/2 * (a1 + an)

s(n) = (a1 + an) / n

s(n) = n/2 * (a1 - an)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'n' represent in the sum formula?

The sum of the sequence

The last term of the sequence

The first term of the sequence

The number of terms in the sequence

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the first term of a sequence using an explicit formula?

By multiplying the first term by the number of terms

By plugging in the first number into the formula

By dividing the sum by the number of terms

By subtracting the last term from the sum

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a sub 3 in the given problem?

20

18

22

24

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the expression 3/2 * 26?

By dividing 26 by 2 and then multiplying by 3

By adding 3 to 26

By multiplying 3 by 26

By dividing 26 by 3