find 5 number in AP whose sum is 12 1/2 and the ratio of the first to the last term is 2 ratio 3
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Let the five number in AP be a,b,c,d and e.
a+b+c+d+e=25/2=12.5
a+(a+y)+(a+2y)+(a+3y)+(a+4y)=25/2
5a+10y=25/2
a+2y=5/2 ==> 2a+4y=5 -->eq.#1
Hey there!
a/e=2/3
a/(a+4y)=2/3
3a-2(a+4y)=0 ==> a-8y=0 -->eq.#2
Solving equations 1 and 2, we get a=2, y=1/4=0.25
So, the five numbers in AP are 2, 2.25, 2.5, 2.75 and 3
Thanks for the awesome question :D !
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_________________________________________
Let the five number in AP be a,b,c,d and e.
a+b+c+d+e=25/2=12.5
a+(a+y)+(a+2y)+(a+3y)+(a+4y)=25/2
5a+10y=25/2
a+2y=5/2 ==> 2a+4y=5 -->eq.#1
Hey there!
a/e=2/3
a/(a+4y)=2/3
3a-2(a+4y)=0 ==> a-8y=0 -->eq.#2
Solving equations 1 and 2, we get a=2, y=1/4=0.25
So, the five numbers in AP are 2, 2.25, 2.5, 2.75 and 3
Thanks for the awesome question :D !
___________________________________________
Hope you are helped ❣
#Enjoy using Brainly.in ❀
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