Writing rules for sequences often requires a bit of creative thinking. Sometimes it helps to look a the differences between terms. After you have computed differences, you can compare them to constants, or terms in the sequence, or check to see if they have some sequence of their own. Sometimes the sequence is constructed so it has a pattern that is replicated over and over.
12. Differences are 5, 3, 8, 11. We see that the last of these correspond exactly to terms in the sequence. In fact, it appears that each term in the sequence is the sum of the previous two. Then the recursion relation is
... a[1] = 3
... a[2] = 8
... a[n] = a[n-1] + a[n-2]
_____
13. It appears that each term of the sequence is the opposite of the term 3 before it.
... a[1] = 1
... a[2] = 2
... a[3] = 1
... a[n] = -a[n-3]
Answer:
240
Step-by-step explanation:
So let the first side be x. So the next side is 3x and the last side is (3x +60) . Add all 3 sides and set equal to 480. So x + 3x + (3x +60)= 480. Now do the Algebra. So 7x + 60 = 480. Subtracting 60 we get 7x = 420 so x= 60. You are asked to ffg ind the length of the longest side so 3(60) + 60 = 240.
Answer:
<u>∠ABC = 39°</u>
Step-by-step explanation:
Since ED bisects ∠CBD :
<u>∠EBD = ∠CBE = 30°</u>
<u />
Now, <u>∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°</u>
Solving :
- 99° = ∠ABC + 30° + 30°
- ∠ABC = 99° - 60°
- <u>∠ABC = 39°</u>
<span>12-5d
Commutative property just changes the order of the numbers in the equation just try to not over think this next time : )
Unless i'm completely wrong, ha in that case don't listen to me.</span>
