For the given geometric progression, the nth term of the given GP is 
.
Option (C) is correct.
What is the Geometric Progression?
Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.
The given sequence is 2, 6, 18, 54
here the first term(a) = 2 and the common ratio(r) = 6/2 =3
Then by using the formula for the nth term of a GP, we get
Hence the nth term of the given GP is .
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Answer:
<h2>(3, -2)</h2>
Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y < -1/2x + 2
for (2, 3) → x = 2, y = 3
3 < -1/2(2) + 2
3 < -1 + 2
3 < 1 FALSE
============================
for (2, 1) → x = 2, y = 1
1 < -1/2(2) + 2
1 < -1 + 2
1 < 1 FALSE
============================
for (3, -2) → x = 3, y = -2
-2 < -1/2(3) + 2
-2 < -1.5 + 2
-2 < 0.5 TRUE
============================
for (-1, 3) → x = -1, y = 3
3 < -1/2(-1) + 2
3 < 1/2 + 2
3 < 2 1/2 FALSE
Answer: 375 feet
Step-by-step explanation:
From the question, we are given the information that Sunni is riding a raft down a stream that is moving at a rate of 75 feet per minute.
To calculate how far downstream that she can travel in 5 minute, we have to multiply the distance covered per minute by 5. This will be:
= 75 feet × 5
= 375 feet
Step-by-step explanation:
finding for 3√512
=67.882250993908562
rounded to the n nearest whole number=68
Answer:
b.
Step-by-step explanation:
The quantity x minus 2y is (x - 2y), then we add 3.
