Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer: 210 percent increase
Step-by-step explanation: So w know the starting value is k so we can replace it with 1 dollar
now we know he bought the dresser for 1 dollar and sold it for 3.10 dollars
First we have to subtract the starting value 3.1 - the original value
3.1 - 1 = 2.1
then we have to divide that number by the starting value
2.1 divided by 1 = 2.1
Lastly multiply times 100 to get the percent increase
2.1 x 100 = 210 % increase
hope this helps mark me brainliest if it helped
The denominator in each term of the series is a square number, but neither

nor

are squares. So none of (1), (2), and (4) can be correct. The answer must be (3).
I think its B
Correct me if this is wrong