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Here I Come Again O.. by Opemiposii(f): 9:44pm On May 04, 2021 |
if 7th term of an A.P is twice the 3rd term and the sum of 1st four term is 42. find the common diff. the 1st and 10th term |
Re: Here I Come Again O.. by clockwisereport: 10:43pm On May 04, 2021 |
T1 =a= 6 T10= 33 Let me type the solution immediately 1 Like |
Re: Here I Come Again O.. by clockwisereport: 11:00pm On May 04, 2021 |
T7 = 2T3.........(1) T1+T2+T3+T4=42.....(2) let T1 =a, the first term of the AP Then, T2=a+d, where d is the common difference; T3= a+2d; T4= a+3d; T7 = a+6d; substituting (a+6d) and (a+2d) for T7 and T3 in eqn (1) a+ 6d = 2(a+2d) a+ 6d = 2a+4d collecting like terms a-2a = 4d- 6d -a = -2d a = 2d..........(3) From eqn (2) T1+T2+T3+T4 = 42 a+(a+d)+ (a+2d)+(a+3d) = 42 4a+6d = 42.......(4) from eqn (2), a = 2d 4(2d) + 6d = 42 8d + 6d = 42 14d = 42 d= 42/ 14 = 3 d = 3 Recall that from eqn (3) , a = 2d => a = 2(3) = 6 T10 = a + 9d = 6+ 9(3) =6+27 =33 @opemisiposii 3 Likes |
Re: Here I Come Again O.. by Opemiposii(f): 6:22am On May 05, 2021 |
clockwisereport:God will bless u for me. amen 2 Likes 2 Shares |
Re: Here I Come Again O.. by cayorday89(m): 3:09pm On Jul 24, 2021 |
clockwisereport:Full respect from this side cos if no be 1+1 maths I no dey do, even if money calculation gets complex, Man pikin go just find the easy way out ni ooo... |
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