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For what value of n are the nth terms of two A.P's 63 , 56 , 67 , ....... and 3 , 10 , 17 .......equal?

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The diameter of a roller 120cm long is 84cm . If it takes 500 complete revolutions to level a playground , determine the cost of levelling it at the rate of 30 paise per square metre.

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First ap=63,56,49... f=63 d=-7 xn=dn+(f-d) = -7n+(63--7) = -7n+70 second a.p= 3,10,17.. f=3 d=7 xn=dn+(f-d) = 7n+(3-7) =7n-4 7n-4= -7n+70 14n-4=70 14n=74 n=74/14 n is not a natural number so there isn't common term

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

I think there is a typing mistake : it is 65 instead of 56.

1st series: 63, 65, 67 ... : common diff = d = 2 a = 63 Tn = 63 + (n-1) 2 = 2 n + 61 2nd series : 3, 10 , 17,.. : d = 7 a = 3 Tn = 3 + (n-1) 7 = 7 n - 4

so 2 n + 61 = 7n - 4 5n = 65 => n = 13

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S = curved surface area of the cylinder = 2 π R L radius = R = 84/2 = 42 cm L = length = 120 cm

S = 2 π 0.42 m * 1.20 m = 3.166 m² 500 complete turns => area rolled = 500 * S = 1583.36 m² Cost = 1583.36 * 30/100 = Rs 475