Geometric Sequence

Write the fifth term of each geometric sequence

8, 24, 72, 216, ___

Answer explanation

Fighting!!!

The common ratio of the geometric sequence is 3 😊

8×3 = 24

24×3 = 72

72×3 = 216

216×3 = 648

Therefore the answer is 648

Write the fifth term of each geometric sequence

3, 12, 48, 192, ___

Answer explanation

Kaya pa ba?

The common ratio of the geometric sequence is 4.

a₄ × 4

192 × 4 = 768 🦖

Write the fifth term of each geometric sequence

5, -10, 20, -40, __

Answer explanation

-2 is the common ratio of the sequence.

-40 × -2 is positive 80

Ready for the next question? ^^

Write the fifth term of each geometric sequence

-4, 12, -36, 108, ___

Answer explanation

-3 is the common ratio?

Did you get it right??

108×-3 is 324 👀

Write the fifth term of each geometric sequence

10, 5, 2.5, 1.25, ____

Answer explanation

it's common ratio is 0.5

10×0.5 is 5

5×0.5 is 2.5

2.5×0.5 is 1.25

and

1.25×0.5 is 0.625

The 3rd term of the geometric sequence is 27 and the 5th term is 243. What is the common ratio of the sequence?

• 4

• 6

• 3

• 8

Answer explanation

EZ!!!

If the second term of a geometric sequence is 5/2 and the fifth term is 20, what is the 10th term?

• 80

• 320

• 160

• 640

Answer explanation

Kaya pa ba? 🦖

{6, 18, 54, ___...}

• 164

• 162

• 156

• 154

{x² ,x⁵ ,x⁸ , _...}

• x⁹

• x¹⁰

• x¹¹

• x¹²

Answer explanation

x • x is still x💀

the answer is x¹¹ accdg to Product of Powers Property 😉

A $100,000 machine is depreciated 20% each year. The depreciated values form this geometric sequence;

$100,000, $80,000, $64000, $51200, $40960,...

What is the depreciated value of the machine after 5 years if its value after 1 year is $80,000?

• 32,678

• 33,789

• 32,768

• 33,789

Answer explanation

The common ratio is 1.25

a₄ is 40960

40960 ÷ 1.25 is 32,768