In an arithmetic progression a=5,a4=9 1/2. Find a2 and a3
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Step-by-step explanation:
now by using value of d u can solve a2(a+1d)
and a3(a+2d)
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Given ,
a = 5
nth term of AP = a+(n-1)d
4th term = a+(4-1)d = a+3d = 9 1/2 = 19/2
=>> 5 + 3d = 19/2
=>> 3d = 19/2 - 5
=>> 3d = (19 -10)/2
=>> 3d = 9/2
=>> d = 9/(3×2)
=>> d = 3/2
a2 = a+(2-1)d = a+d = 5 + 3/2 = (10 + 3)/2 = 13/2
a3 = a+(3-1)d = a+2d = 5 + 2×3/2 = 5 + 3 = 8
a2 = 6 1/2 , a3 = 8
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