Question

Find the missing number in the series - 582, 700, 827,979, ?, 1462​

Answer 1

Answer:

here all increase squares in odd ,so add , you will be got 1180

Answer 2

Answer:

We can find the missing term in the given number series 582, 700, 827,979, ?, 1462​. For we should find the difference of difference.

Missing term is: $1180$

Step-by-step explanation:

First we should find the difference between the terms in the given number series.

Step 1: Subtract second term and first term

             $700-582=118$

Step 2: Now add $3^2$ and $118$. value of $3^{2} = 9$

                $118+9 = 127$

Step 3: Now add this $127$ to the second term. Then only we can get the third term.

              $700+127 = 827$  ⇒ Third term

Similarly we will do the step 1, step 2, step 3 again for find the fourth term.

• Subtract third term and second term

             $827-700=127$

• Now add $5^2$ and $127$. value of $5^{2} = 25$

               $127+25=152$

• Now add this $152$ to the third term. Then only we can get the fourth term.

             $827+152=979$  ⇒ Fourth term

Similarly we will do the step 1, step 2, step 3 again for find the fifth term.

• Subtract fourth term and third term

             $979-827=152$

• Now add $7^2$ and $152$. value of $7^{2} = 49$

               $152+49=201$

• Now add this $201$ to the fourth term. Then only we can get the fifth term.

            $979+201= 1180$  ⇒ Fifth term and the missing number.

Similarly we will do the step 1, step 2, step 3 again for find the sixth term.

• Subtract  fifth term and fourth term  

           $1180-979=201$

• Now add $9^2$ and $201$. value of $9^{2} = 81$

              $201+81=282$

• Now add this $282$ to the fifth term. Then only we can get the fifth term.

           $1180+282=1462$  ⇒ Sixth term