II. Read, analyze, and solve. Show your solutions. 1. The ages in years of three...

Questions

September 2022 1 2 Report

II. Read, analyze, and solve. Show your solutions.
1. The ages in years of three siblings form a geometric sequence. The youngest and eldest are 8 and 18 years old, respectively. How old is the middle child?
2. Every person has 2 biological parents, 4 grandparents, and so on. Find how many great-great-great grandparents does each person have?
3. Write a geometric sequence with 4 terms for each value of r.
a. r = 1
b. r> 1
c. r < 1

Answers & Comments

luna3473

Answer:

1)

$a1 =8 \: \: \: \: \: an = \: 18$

To find the geometric mean:

FORMULA:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{a1 \times an}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{8 \times 18}$

$\: \: \: \: \: \bold{\boxed{the \: geometric \: mean \: is \: 12}}$

The second son is 12 years old.

2)

$\: \: \: a1 = 2 \: \: \: \: \: \: \: \: \: \: \: a2 = 4$

To find the ratio:

FORMULA:

$\: \: \: \: \: \: \: \: \: \: \: a2\div a1$

$\: \: \: \: \: \: \: \: \: \: \: \: 4 \div 2$

$\: \: \: \: \: \: \: \: \: \: \: \: \: r = 2$

great-great-great grandparents means the 5th term.

$\bold{\boxed{each \: person \: has \: 32 \: grandparents}}$

3)

A. 2, 2, 2, 2

ratio is equal to one.
r = 1

B. 2, 4, 8, 16

ratio is greater than one.
r = 2

C. 2, -6, 18, -54

The ratio is less than one.
r = -3

ps.Correct me if I have errors.

I hope it helps! <33

namdosan 1. A geometric sequence is a sequence in which every term after the first term is obtained by a nonzero constant to the preceding term.

namdosan pwede po ba pakisagot po ito

namdosan kung gusto niyo visit niyo ako

namdosan sayang kasi 35 point

luna3473 ano po ba ang isasagot sa no. 1

luna3473 kasi mukhang statement lang po siya eh

namdosan 1. A geometric sequence is a sequence in which every term after the first term is obtained by a nonzero constant to the preceding term. A. adding C. multiplying B. raising to a power D. dividing

namdosan yan po question

luna3473 Letter C. po ang sagot. ty.

namdosan salamat po