3 years ago

a sequence has a first term of 2 and a constant ratio of _3/2 what are the first five terms of the sequence

1 answer:

5 0

This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125

Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125

You might be interested in

Which is an equivalent expression for 21a+35?

ki77a [65]

Answer:

7(3a + 5)

Step-by-step explanation:

Rewrite 21 as 7 · 3

Rewrite 35 as 7 · 5

Therefore,

⇒ 21a + 35 = 7 · 3a + 7 · 5

Factor out common term 7:

⇒ 7 · 3a + 7 · 5 = 7(3a + 5)

5 0

2 years ago

Expand the following 2(x+3)

Maksim231197 [3]

Answer:

2x + 6

Step-by-step explanation:

2 will multiply everything inside the bracket.

2 x X =2x

2 X 3=6

6 0

2 years ago

Read 2 more answers

Find the reference angle of 13π/5

Mars2501 [29]

Answer:

2π/5

Step-by-step explanation:

8 0

3 years ago

Point One = (0, -2) = Point Two = (-3, -5) <br>write in slope intercept form

Ivanshal [37]

Answer: m=1

Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1. label your points

0=x1

-2=y1

-3=x2

-5=y2

The first pair is x1 and y1 and the next pair is x2 and y2

plug in the numbers to find your answer

8 0

2 years ago

An equations'system

yaroslaw [1]

$1. \: x = \frac{11}{9} y + \frac{5}{9} \\ x = \frac{5}{6} y + \frac{1}{6} \\ \\ 2. \: x = \frac{3}{2} y + 2 \\ x = \frac{3}{2} y + 2$

3 0

3 years ago