Answer:
x=7, so the smaller number is 7 and the larger number is 21.
Step-by-step explanation:
x=3x+5=33
Let x=3:
(3)+3(3)+5=3+9+5=17, not 33, so x is not 3
Let x=5:
(5)+3(5)+5=5+15+5=25, not 33, so x is not 5
Let x=7:
(7)+3(7)+5=7+21+5=33, so x=7
Let x=9:
(9)+3(9)+5=9+27+5=41, not 33, so x is not 9
Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.
Might have to experiment a bit to choose the right answer.
In A, the first term is 456 and the common difference is 10. Each time we have a new term, the next one is the same except that 10 is added.
Suppose n were 1000. Then we'd have 456 + (1000)(10) = 10456
In B, the first term is 5 and the common ratio is 3. From 5 we get 15 by mult. 5 by 3. Similarly, from 135 we get 405 by mult. 135 by 3. This is a geom. series with first term 5 and common ratio 3. a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.
Can you now examine C and D in the same manner, and then choose the greatest final value? Safe to continue using n = 1000.
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here
(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r
As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:
In case of given sequence,
So to find the 5th term
(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:
Putting the values of a_1 and r
Hence,
1. Geometric Sequence
2.
3.
Keywords: Geometric sequence, common ratio
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
idk I need the answer too
Step-by-step explanation:
:P
False It can't be parallel It's gonna be intersecting or perpendicular
