Let a1, a2, ......, a10 be in AP and h1, h2, ....., h10 be in HP. If a1 = h1 = 2 and a10 - h10 = 3,then a4h7 is (a) 2 (b) 3 (c) 5
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Answered by
28
hello
nth term in AP=a+(n-1)d
3=2+(10-1)d
d=1/9
A4=2+(4-1)*1/9=7/3
similarly (1/3)=(1/2)+(10-1)d (since if a,b,c are in HP,1/a,1/b,1/c are in AP)
d=(-1/54)
H7=[1/{(1/2)+(7-1)*(-1/54)}]
H7=2.5714
A4*H7=(7/3)*(2.5714)=6
_____Hope it helps________^_^^_^^_^
nth term in AP=a+(n-1)d
3=2+(10-1)d
d=1/9
A4=2+(4-1)*1/9=7/3
similarly (1/3)=(1/2)+(10-1)d (since if a,b,c are in HP,1/a,1/b,1/c are in AP)
d=(-1/54)
H7=[1/{(1/2)+(7-1)*(-1/54)}]
H7=2.5714
A4*H7=(7/3)*(2.5714)=6
_____Hope it helps________^_^^_^^_^
Answered by
14
hey friend
answer is 6!!!
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