Question

in the series find the value of x+y

2,13,26,19,5,16,29,x,y

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Answer 1

Answer:

see the difference

9,13,-7,-14,9,14 ,___,__

so the pattern of difference is continued

the answer is X=29-7. =22

Y=22-14 =8

22+8

Answer 2

Answer:

The value of x + y is 55.

Step-by-step explanation:

Given the number series: 2, 13, 26, 19, 5, 16, 29, x, y

If we find the difference between the numbers,

$13-2=11,~26-13=13, ~19-26=-7$

And the difference between the later numbers is

$5-16=11, ~29-16=13$  

The sequence of difference is repeated.

Applying the same logic, the next difference must be -7 and repeating the sequence again, the next difference must be 11.

So, difference between x and 29 is -7.

Therefore, $x - 29 = -7\implies x=-7+29=22$

And the difference between y and 22 is 11.

Therefore, $y - 22 = 11\implies y=11+22=33$

Thus, the value of $x+y=22+33=55$  

Therefore, the value of x + y is 55.

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