# Explicit Formulas for Geometric Sequences Worksheets

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Practicing our free, printable worksheets on explicit formulas for geometric sequences with imagination and flair is the secret to stellar skills at writing a geometric sequence using the general term or nth term and also at devising explicit formula for a sequence. The tasks are split into two levels based on the numbers involved with the sequences - integers, fractions, decimals, and rational and irrational numbers. Assess your knowledge of the topic by solving the problems one after another!

These pdf worksheets are most recommended for students in grade 8 and high school.

CCSS: HSF-BF

Explicit Formula for Geometric Sequences | Level 1 | Worksheet #1

Introduce the 8th grade students to the explicit formula, a direct formula used to determine the nth term of a geometric sequence a_{n} = a.r^{n-1}. The 2-part exercise is designed to drum the formula into their heads!

Explicit Formula for Geometric Sequences | Level 1 | Worksheet #2

Plug n = 1, 2, 3, ... in the explicit formula to write the geometric sequence in part A. Find the first term and common ratio from the sequence and devise the explicit formula in part B.

Explicit Formula for Geometric Sequences | Level 2 | Worksheet #1

Steal a march on your peers as you complete this pdf explicit formula for geometric sequences worksheet! The exercise presents sequences with rational and irrational numbers for you to level up!

Explicit Formula for Geometric Sequences | Level 2 | Worksheet #2

Reiterate and reinforce writing geometric sequences using their general term and creating explicit formulas for geometric sequences with this free, printable worksheet for grade 8 and high school.

Finding Specific Term Using Explicit Formula | Worksheet #1

What is t_{5} in the geometric sequence 8, −32, 128,...? Take a whack at similar problems in this pdf worksheet and knock your sequencing skills into shape! In this case, the 5th term is 8,192.

Finding Specific Term Using Explicit Formula | Worksheet #2

Go the whole hog with this free worksheet! Determine a and r of the sequence, substitute them in the general term, and put n = 1, 2, 3, ... according to the position, and figure out the indicated term.