Question

Sum of three consecutive terms which are in AP is 27, and the sum of their square is 293. Find the terms. ​

Answer 1

Answer:

apply formula sn = n/2(2n+1)

Answer 2

Question:-

Sum of three consecutive terms which are in AP is 27, and the sum of their square is 293. Find the terms.

Answer :-

Let the consecutive three terms in A.P series be a-m,a,a+m.......Now as per question a-m+a+a+m=27,

or,3a=27,or,a=9.Again as per question

(a-m)^2+a^2+(a+m)^2=293,

or, a^2-2am+m^2+a^2+a^2+2am+m^2=293

or,3a^2+2m^2=293

or,3×9^2+2m^2=293

or,243+2m^2=293

or,2m^2=293-243=50

or,m^2=25

or,m=5

So,a-m=9+5=14or9-5=4

a=9

a+m=9-5=4or9+5=14

The three consecutive terms in the A.P is either,14,9,4...or 4,9,14...

mark me as brainlist...