Question

What is the common differance between following ap- 1/3,5/3,9/3,13/3..

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• An AP : 1/3 , 5/3 , 9/3 , 13/3......

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$\red{\underline \bold{To \: Find:}}$

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• Common difference of the given AP

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let us firstly understand what is an AP.

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⚝ A sequence of numbers in which each differs from the preceding one by a constant quantity.

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$\underline{\bold{\texttt{For example :}}}$

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• 9 , 7 , 5 , 3 .........

• 1 , 5 , 9 , 13 .......

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Now let's have an look on common difference.

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⚝ Difference between any two consecutive terms is a constant. This constant is called the common difference and is usually denoted by 'd'.

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To get the common difference in an AP we need to subtract a term with its succeeding term,

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$\underline{\bold{\texttt{For example,}}}$

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Let An AP be,

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$\purple\longrightarrow$ a1 , a2 , a3 , a4...........

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Common difference = a2 - a1 = a3 - a2

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$\underline{\bold{\texttt{Coming to the question,}}}$

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$\sf \longmapsto Common \: difference \: = \dfrac { 5 } { 3 } - \dfrac { 1 } { 3 }$

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$\sf \longmapsto d = \dfrac { 4 } { 3 }$

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Hence the common difference of the given AP is $\sf \dfrac { 4 } { 3 }$

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Answer 2

Answer:

the common d is 4/3

Step-by-step explanation:

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