The-sum-of-three-numbers-in-arith-metic-progression-is-18-and-sum-of-square-is-206-find-the-numbers-

Question Number 192444 by Mastermind last updated on 18/May/23

The sum of three numbers in arith -

metic progression is 18 and sum of

square is 206 . find the numbers

Commented by Tinku Tara last updated on 19/May/23

Automatic tagging may sometime

tag wrong question .

will fix this in future updates

Commented by Mastermind last updated on 18/May/23

the answer you tag is already deleted

from forum

Commented by Frix last updated on 19/May/23

It can be triggered like this :

q = 546213

Commented by Frix last updated on 19/May/23

\dots or this :

Quod erat demonstrandum x = 567123

Answered by AST last updated on 18/May/23

a - d + a + a + d = 3 a = 18 \Rightarrow a = 6

{(6 - d)}^{2} + 6^{2} + {(6 + d)}^{2} = 108 + 2 d^{2} = 206 \Rightarrow d = \underline{+} 7

(- 1, 6, 13); (13, 6, - 1)

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