Maths-
General
Easy

Question

Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …

hintHint:

A sequence of numbers which has a common difference between any two consecutive numbers is called an arithmetic progression (A.P.). The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:
an = a + (n – 1) × d

The correct answer is: 1, 3/4 , 1/2 , 1/4 , 0…


     We have given the pattern of numbers

    1, 3/4 , 1/2 , 1/4 , …
    We have to find the next number.
    We will first convert the pattern into decimal numbers

    1,0.75,0.5,0.25
    We can see clearly that it is an Arithmetic progression
    With
    Common difference = 0.75 – 1 = - 0.25

    = 0.50 – 0.75 = -0.25

    = 0.25 – 0.50 = -0.25
    Therefore next term will be

    0.25 + Common difference

    0.25 – 0.25 = 0
    Therefore, the pattern will be

    1,0.75,0.5,0.25 , 0 ..

    1, 3/4 , 1/2 , 1/4 , 0…

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