Use inductive reasoning to determine the next two terms in each sequence: a) 1, 3, 7, 15, 31 ....
2 answers:
Answer:
63,127
Step-by-step explanation:
the interval between each number is multiplied by 2
such as between 1 and 3 we have 2 so 2×2=4
the 4+3=7 and so on
Answer: 63, 127
Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127
Or, if we call the first value a1 , the sequence is given by an=2n−1
The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.
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x = - 36
multiply both sides of the equation by - 2
x = (- 2)× 18 = - 36
Answer:
15/4 and 45/4
Step-by-step explanation:
Let x and y be the numbers
x = 3y
x+ y = 15
Substitute the first equation in to the second equation
3y+y = 15
4y = 15
y = 15/4
x = 3(15/4)
x = 45/4
The two numbers are 15/4 and 45/4
Set up a proprtion and cross multiply.
Answer:
p > 10
Step-by-step explanation:
Given
- 6(p - 8) < - 12
Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.
p - 8 > 2 ( add 8 to both sides )
p > 10
Answer:y=24(2-3)
Step-by-step explanation:
