Lesson Worksheet: Infinite Geometric Series Mathematics • 10th Grade

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In this worksheet, we will practice determining whether a geometric series is convergent and finding its limit.

Q1:

Can the sum of an infinite geometric series with common ratio be found when ?

Q2:

Find the sum of the infinite geometric sequence .

Q3:

Can the sum of an infinite geometric series be found for any value of satisfying ?

Q4:

Find the possible infinite geometric series where the sum is and the sum of the first and second terms is .

Q5:

Find the sum of an infinite number of terms of the geometric sequence .

Q6:

Find the common ratio of an infinite geometric sequence given the sum is 52 and the first term is 14.

Q7:

Find the infinite geometric sequence given each term of the sequence is twice the sum of the terms that follow it and the first term is 37.

Q8:

Find the sum of an infinite number of terms of a geometric sequence given the first term is and the fourth term is .

Q9:

Find the sum of the infinite geometric sequence .

Q10:

Find the sum of the squares of the terms of an infinite geometric sequence given the first term is 49 and the common ratio is .

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