Find 5 numbers of ap whose sum is 25 and the sum of whose squares is 135
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Answered by
1
Answer:
Answer is .... no. 3,4,5,6,7
hope it helps
Answered by
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HEY ^_ ^
GIVEN NUMBER ARE IN A.P. SERIES:-
SO, late here 5 number of AP series:---
a-2d, a-d,a,a+d,a+2d
a/c will be:--
(a-2d,)+( a-d)+(,a,)+(a+d)+(,a+2d)=25.
==>5a=25
==>a=5.
again a/c to question
(a-2d,)^2 +( a-d)^2 +(,a,)^2 +(a+d)^2+(a+2d)^2=135.
put value of a=5.
(5-2d,)^2 +( 5-d)^2 +(,5,)^2 +(5+d)^2+(5+2d)^2=135.
=>125+10d^2 =135
=>10d^2 =10
=>d^2=1
=>d=±1.
find number:-
if, a=5 and d=1
3,4,5,67
if,a=5 and d= -1
7,6,5,4,3
I hopes its helps u.
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