Math, asked by Anonymous, 8 months ago

helo friends help me plz....

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Answered by soumyaRaj4825
0

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Answered by pulakmath007
26

\huge\boxed{\underline{\underline{\red{Solution}}}}

 \longmapstoARITHMETIC PROGRESSION

An Arithmetic Progression is a progression of numbers such that the difference between the a term & it's successor is constant(Same)

This Difference is called Common Difference

Generally First Term is denoted by a &

Common Difference is denoted by d

 \longmapstoFORMULA FOR CALCULATING SUM

The sum of the first n terms is

 \displaystyle =  \frac{n}{2}  \ \{ 2a + (n - 1)d \: \}

 \longmapstoCALCULATION

The given AP is

3 , 5 , 7 ,...................

First Term = a = 3

Common Difference = d = 5-3 = 2

Hence the

sum \: of \: the \:  {20}  \:  \: terms

 \displaystyle =  \frac{20}{2}  \ \{ 2 \times 3 + (20 - 1) \times 2\}

 \displaystyle =  10   \times (6 + 38 )

 \displaystyle =  10 \times 44

 \displaystyle =  440

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