Question

DATE:
6, 8, 14, 26, 46,76, ....what is d next no.. ​

Answer 1

Reasoning:

Given data:

Series of numbers: 6, 8, 14, 26, 46, 76, ...

To find:

The next number.

Solution:

Logic: Preceding value + Difference between the preceding two numbers + 2*(n-1),

where 'n' is the current finding value index.

Given set:                6         8         14          26           46          76

Level 1 difference:        2          6          12          20           30

Level 2 difference:             4          6            8             10

So, the next value can be calculated by adding the 10+2=12 at level 2 with the difference of 30 at level 1, to the previous number 76.

Given set:  6         8         14          26           46          76       76+42=118

Level 1 :           2          6          12          20           30         30+12=42

Level 2 :                4          6            8             10           12

As per the manual solving of logic, we need to find the 7th term. So, n=7.

Then, value = 76 + (76-46) + 2*(7-1)

                    = 76 + 30 + 12

                    = 118

Therefore, the next value in the series 6, 8, 14, 26, 46, 76 is 118.

Answer: 6, 8, 14, 26, 46, 76, 118.

Learn more:

1. Which of the following options will best complete the relationship given below? 13(4624)33 15(5735)42 11(????)37​

brainly.in/question/11140008

2. 5 7 (37) 8 4(20) 10 6(34) 6 4(?) Find missing number

brainly.in/question/16813585

Answer 2

Answer:

$\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 0 & \sf - 2.5 \\ \\ \sf 5 & \sf 0 \end{array}} \\ \end{gathered}$