# Lesson Worksheet: Finding the 𝑛th Term of a Geometric Sequence Mathematics • 9th Grade

In this worksheet, we will practice writing explicit and recursive formulas for geometric sequences to find the value of the 𝑛th term in a geometric sequence and finding a term’s order given its value.

Q1:

Find the value of the second term of the geometric sequence , where .

• A
• B
• C
• D

Q2:

The recursive formula for a geometric sequence is and for . Give an explicit formula for the sequence.

• A for
• B for
• C for
• D for
• E for

Q3:

Find a formula for the general term of the geometric sequence .

• A
• B
• C
• D
• E

Q4:

Find, in terms of , the general term of the geometric sequence .

• A
• B
• C
• D

Q5:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q6:

Find the first three terms of a geometric sequence given and the common ratio is .

• A
• B
• C
• D
• E

Q7:

Find the three consecutive numbers of a geometric sequence, given that the sum of the terms is and the product is 216.

• A, 6,
• B, ,
• C, ,
• D6, , 54
• E6, ,

Q8:

Find the order of the term whose value is 4,374 in the geometric sequence .

Q9:

Find the number of terms of the geometric sequence .

Q10:

Find the order of the term in the geometric sequence .

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