Answer:
The next two terms are 55 and 89
Step-by-step explanation:
This is an example of the Fibonacci Sequence: The sum of the previous two numbers equals the next number.
You can see that :
- 3 + 5 = 8
- 5 + 8 = 13
- 8 + 13 = 21
- 13 + 21 = 24
Rule: the sum of the previous two numbers, equals the next number.
Solve:
- 3, 5, 8, 13, 21, 34, (21 + 34), (34 + 21 + 34)
- 3, 5, 8, 13, 21, 34, 55, 89
The next two terms are 55 and 89
-Chetan K
Answer:
576
Step-by-step explanation:
That's your answer.
Let's call the three numbers x, y, and z.
The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve
5x + z = 20
x + z = 8
5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5
x + z = 8
x + 5 = 8
x = 3
y = 4x
y = 4 × 3
y = 12
I hope this helps!
ANSWER
8, 10, 12, 14, . . .
EXPLANATION
The given rule for the sequence is :
f(n)=2n+6
The domain for a sequence is the set of natural numbers.
When n=1,
f(1)=2(1)+6=8
When n=2,
f(2)=2(2)+6=10
When n=3,
f(3)=2(3)+6=12
When n=4,
f(4)=2(4)+6=14
Therefore the sequence that follows the given rule is
8, 10, 12, 14, . . .