Answer:
a = 2, r = 5
Step-by-step explanation:
Nth term of a GP = a×r^(n-1)
Where 'a' is the first term and 'r' is the common ratio
4th term = a×r^3 = 250
r^3 = 250/a
7th term = a×r^6 = 31250
a×r^6 = 31250
a×(r^3)^2 = 31250
a×(250/a)^2 = 31250
a×(62500/a^2) = 31250
62500/a = 31250
a = 62500/31250 = 2
a = 2
since r^3 = 250/a,
r^3 = 250/2 = 125
r = (125)^(1/3)
r = 5
Answer:
<h3>The number is 500</h3>
Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as

the number decreased by 400 is written as
x - 400
Equate the two expressions
We have

Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
Answer:
w = 33
Step-by-step explanation:
w ÷ 3.3 = 10
multiply both sides by 3.3:
w ÷ 3.3 x 3.3 = 10 x 3.3
⇒ w = 33