Question

a person continuously places 3 Marbles in a first box 5 in a second box 7 in a third box etc the number of Marbles that he places in 16th box is

Answer 1

Answer: Number of marbles that he places in 16th box is 33.

Step-by-step explanation:

Given, series : 3, 5, 7, ...

∴ It is an A.P series.

$a_{1}$ = 3

common difference(d) = 5 - 3 = 2

∴ $a_{16} = a_{1} + (n - 1)d$

where, $a_{1}$ = first term

            n = n th term of the series

            d = common difference

∴ $a_{16} = 3 + (16 - 1) * 2$

        = 3 + (15 * 2)

        = 3 + 30

        = 33

∴ Number of marbles that he places in 16th box is 33.

Answer 2

Answer:

The number of Marbles that he places in 16th box is 33

Step-by-step explanation:

GIVEN:

     A person continuously places 3 Marbles in a first box 5 in a second box 7 in a third box etc....    

   That means the given data is in Arthametic progression

   A.P= 3,5,7,.........

    Common difference is represented with (d).

     A.P  $a_{n} =a_{1}+ (n-1)*d$

     $a_{1} =3\\a_{2} =5\\a_{3} =7$

common difference(d)

                                  $a_{2} -a_{1} \\=5-3\\\\=2$

   $a_{16} =a_{1} +(n-1)*d$

          $=3+(16-1)*2$

           $=3+15*2$

           $=3+30$

             $=33$

  The number of Marbles that he places in 16th box is 33

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