Math, asked by maniklalmahato5, 10 months ago

ans is 10 come fast ​

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Answered by animesh2009
0

Nope, answer is not 10 mate...

Answered by genius1947
1

\Large\tt{||\:GIVEN\:||} \\

Neela saves in a Mahila Bachat Gat Rs.5 on the first day, Rs.7 on the second day, Rs.9 on the third day and so on.

\Large\tt{||\:TO\:FIND\:||} \\

Neela's saving in the month of August.

\Large\tt{||\:SOLUTION\:||} \\

✇ As per the given data we will get a sequence of the form 5, 7, 9, . . . which forms an arithmetic progession.

Here,

⦾ The first day saving is taken as, a = 5

⦾ Second day saving is taken as, a₁ = 7

⦾ The difference in saving is taken as d

;\implies\:\tt{d\:=\:a_1\:-\:a} \\

;\implies\:\tt{d\:=\:7\:-\:5} \\

;\implies\:\bf{d\:=\:2} \\

Here,

⦾ Here n is the number of days.

We know that,

⦾ There are 31 days in August.

Therefore,

n = 31

✇ So, to calculate the savings in the month of August we have to consider the following formula :

\orange\star\:{\underline{\boxed{\bf{\purple{S_n\:=\:\dfrac{n}{2}\:\Big[2a\:+\:(n\:-\:1)\:d\Big]}}}}}\:\green\star \\

\hookrightarrow\:\tt{S_n\:=\:\dfrac{31}{2}\:\Big[2\times{5}\:+\:(31\:-\:1)\:2\Big]} \\

\hookrightarrow\:\tt{S_n\:=\:\dfrac{31}{2}\:\Big[10\:+\:30\times{2}\Big]} \\

\hookrightarrow\:\tt{S_n\:=\:\dfrac{31}{2}\:[10\:+\:60]} \\

\hookrightarrow\:\tt{S_n\:=\:\dfrac{31}{2}\times{70}} \\

\hookrightarrow\:\tt{S_n\:=\:31\times{35}} \\

\hookrightarrow\:\bf\pink{S_n\:=\:1085} \\

\Large\bf{Therefore,}

The savings in the month of August is Rs.1085.

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