Learn how to find the sum of an infinite geometric series in summation notation

Learn how to find the sum of an infinite geometric series in summation notation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using Sigma notation in the context of infinite sequences?

To calculate the product of terms

To identify the first term and common ratio

To determine the sequence's convergence

To find the difference between terms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the first term (a1) in a geometric sequence?

By adding the ratio to the first term

By multiplying the ratio by the number of terms

By substituting zero into the formula

By dividing the last term by the ratio

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the common ratio (R) in the given example?

0.01

34

0.99

1.01

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in converting the sum of the sequence into a fraction?

Divide by the common ratio

Multiply by 10 on the top and bottom

Subtract the first term from the sum

Add the common ratio to the sum

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final fraction obtained for the sum of the infinite geometric sequence?

3400/99

34/0.01

34/99

340/9