Question

if 5:b = 5²:4², calculate the value of b​

Answer 1

Answer:

16

Step-by-step explanation:

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Answer 2

Answer:

Correct option is B)

Here, using the formula

a

2

−b

2

=(a+b)∗(a−b)

Since, a and b will be consecutive numbers and a<b⟹ difference will be −1

∴(a

2

−b

2

)=−(a+b)

∴ Value of the expression

1

2

−2

2

+3

2

−4

2

+. . .+99

2

−100

2

=−(1+2+3+4+5−−−−−−−−−−−−−100)

Sum of n consecutive numbers =

2

n(n+1)

Then, we have

1

2

−2

2

+3

2

−4

2

+. +99

2

−100

2

=−(

2

100(101)

)=−5050