Question- How do you recognize and complete a geometric sequence?
Answer- A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r. Write the first five terms of a geometric sequence in which a1=2 and r=3.
Answer:
7 inches
Step-by-step explanation:
Using Pythagoras' theorem on the right triangle, that is
r² + 11² = 13²
r² + 121 = 169 ( subtract 121 from both sides )
r² = 48 ( take the square root of both sides )
r = 
≈ 7 in ( to the nearest inch )
1/4 = .25 of a mile
.25 of a mile * 4 laps = 1.0 mile
1 mile * 3 = 3 miles so 4 laps (1 mile) * 3 = 12 laps.
Simplifying
5n + 3 = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n
Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n
Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4
Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
The least common multiple is 24
