2 years ago

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000

Mathematics

1 answer:

stiks02 [169]2 years ago

6 0

Answer:

hello,

Step-by-step explanation:

$u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^{n-1}\geq 100000\\\\3^{n-1}\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\$

You might be interested in

6. Molly uses 192 beads to make a bracelet and

bogdanovich [222]

Answer:

1960

Step-by-step explanation: 192 x 5

3 0

2 years ago

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. Th

erastova [34]

I think the answer is 3, because D(12;-4) and D' is (36;-12). Then 36/12=3, -12/-4=3
(I hope it's true)!!! :)

6 0

3 years ago

Read 2 more answers

Which of the numbered stones shown cannot be mapped to another with a rigid motion?

Andreas93 [3]

Answer:

7,8,11,12,13,14

8 0

2 years ago

Simplify: 3 . 3^2 + 8 ÷ 2 - (4 + 3) A: 32 B: 24 C: 23 D: 30

yaroslaw [1]

Answer:

its none of these answers ;-;

Step-by-step explanation:

3^2 + 8 ÷ 2 - (4 + 3)

we do what's in parentheses first. (pemdas)

so now we have, 3^2 + 8 ÷ 2 - 7

next exponents, 3^2=9

9 + 8 ÷ 2 - 7

next division, 8÷2=4

9 + 4 - 7

next addition, 9+4=13

13-7

finally subtraction, 13-7=6

final answer: 6

7 0

3 years ago

can you please explain to me how 570ml = oz. I'm having a hard time figuring it out. I'm having a problem with converting.

Vladimir79 [104]

19.2740122 fluid ounces = 570 milliliters. I'm positive this really is the answer. :)

8 0

3 years ago

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000​

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000