Question

What is the missing number in this pattern? 4, 10, 14, 24, 38, 62, 100, 162, ?

Answer 1

Your answer is 267......m

Answer 2

Answer:

Required term is 262.

Step-by-step explanation:

Given,

4, 10, 14, 24, 38, 62, 100, 162, ?.

This is a problem of missing number chapter of general intelligence.

If we look it carefully then we can see that this series maintain a sequence.

Here,

$4 + 10 = 14 \\ 14 + 24 = 38 \\ 24 + 38 = 62 \\ 38 + 62 = 100 \\ 62 + 100 = 162$

It is clear that here each term is sum of previous two terms.

So, required term is

$(100 + 162) = 262$

This is a problem of General inteligence part of Mathematics.

Some important Mathematics formulas:

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ {(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y) \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ {x}^{2} - {y}^{2} = {(x + y)}^{2} - 2xy \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )$

General intelligence related two more questions:

https://brainly.in/question/6348056

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