Math, asked by jainanushka9191, 10 months ago

Complete the series 9 ,5.5, 7.5 ,19, 84,(. ...)

Answers

Answered by bhagyashreechowdhury
5

Answer:

The missing number in the series is 9 ,5.5, 7.5 ,19, 84, 688 .  

Step-by-step explanation:

In order to complete this series let’s try to understand the pattern involved in the series.

Given series: 9 ,5.5, 7.5 ,19, 84, (. ...)

Pattern involved:

9 * 0.5 + (2 * 0.5) = 5.5

                    /

                  /

5.5   *       1    +    (2 * 1) = 7.5

                               /

                            /

7.5     *             2      +       (2 * 2)   =   19

                                           /

                                        /

19                   *             4        +       (2 * 4)    =    84

                                                         /  

                                                       /

84                    *                           8   +   (2 * 8)    =   688

The series above involves multiplying the first number in the given series i.e., 9 with 0.5 then adding it with twice of 0.5 i.e.,1 which gives the next number in the series i.e., 5.5. Similarly, 5.5 is then first multiplied by twice of 0.5 i.e., 1 and then it is added with twice of 1 i.e., 2. This gives me the next number in the series i.e., 7.5. The same procedure is applied to each of the numbers in the series up till 84 which gives us the answer for the final missing number in the series i.e., 688.

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