The sum of the 4 and 5 in terms of an AP is 24 and the sum of the 6 and 10 terms is 44. Find the first three terms of the AP.
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2,34/7,54/7
Step-by-step explanation:
Given,
a4+a5=24
a6+a10=44
We know that, aN=a+(N-1)d
a4=a+3d,a5=a+4d,a6=a+5d,a10=a+9d
a+3d+a+4d=24,a+5d+a+9d=44
2a+7d=24---(1),2a+14d=44---(2)
Subtracting (1) from (2),We get,
7d=20
d=20/7
Substitute in (1), 2a+7(20/7)=24
2a+20=24
2a=4
a1=a=2(First term)
a2=a+d=2+20/7
a2=34/7(Second term)
a3=a+2d=2+2*20/7
a3=54/7(Third term)
Hope it helps you..
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