Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Answer:
-3.8 is the additive inverse
Step-by-step explanation:
The additive inverse is the number you add to another number to get zero or the negative of a number...
The left side should be infinite, based on the ..., which represents that the list goes on. The right side, however, should be finite, because that’s where the pattern stops.
Answer:
cos^-1(.17) is 1.40 in radian
Step-by-step explanation:
Given cos^-1(.17), the equivalent is 80.212
This is approximately 80.21°
Which is 1.40 in radian