jakeagilbert
16.02.2021 •
Mathematics
The sum of the first 4 terms of an A.P is 4, the sum of the first 12 terms is 28. Find the A.P
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Ответ:
Step-by-step explanation:
let the A.P. be a,a+d,a+2d,a+3d,a+4d,...
multiply (1) by 3
6a+9d=12 ...(3)
(2)-(3) gives
24d=2
d=2/24=1/12
from (1)
2a+3(1/12)=4
2a=4-1/4=15/4
a=15/8
a+d=15/8+1/12=(45+2)/24=47/24
a+2d=15/8+2(1/12)=15/8+1/6=(45+4)/24=49/24
so A.P. is 15/8,47/24,49/24,....
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