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will brainly
with complete solution pls

1. Determine the two geometric means between 15 and 405.

2. What is the 8th term of the sequence 4, 28, 196, ...?

3. Find the 10 term of a geometric sequence whose first term is 768 and common ration is a

4. What is the sum of the first 10 terms of the geometric sequence 2, 6, 18, ...?

5. Find the sum of the terms of the infinite sequence 36, 12, 4, ...​


Sagot :

Answer:

1.a2=135

405, 135, 45, 15

an=alrn=1

15=405r⁴=1

15=405r³

15/405 =405r³/405

1/27 =r³

3 1/7 =√43

1/3=r

2.4,28,196,

The common ratio of the geometric sequence is 7

4x7 = 28

28x7 = 196

196x7 = 1,372

1372x7 = 9,604

9604x7 = 67,228

67,228x7 = 470,596

470,596x7 = 3,294,172

3,294,172x7 = 23,059,204

3.just use the formula

(a sub n = a sub 1 • r raise to n-1)

n- means the number of term

a sub 1 - means the first term

a sub n - means the last term

r - means the common ratio

4.2,6,18,54,162,486,

1458,4374,13122, 39366, 118098

5.36,12,4 is in G .P(geometric progression)

first term =a= 36

common ratio =r = 36/12=4/12=1/3

sum of infinite terms = a/(1-r)

= 36/(1-1/3)

= 36/ (2/3)

= 36* 3/2

=18×3

=54

Step-by-step explanation:

hope it helps

pa brainliest