17. If the 2nd term of an AP is 8 and the 5thterm is 17, find its 19th

1.	17. If the 2nd term of an AP is 8 and the 5thterm is 17, find its 19th term. [CBSE 2016]18The 4th te
Answer» 2nd term Second term (a2) = 8fifth term (a5) = 17 we know that general formula of a term in ap is a+(n-1)dtherefore, a2=a+d 8=a+da5=a+4d 17=a+4d solving the two equations simultaneously....we get....d=3therefore, a=5 thus the 19th term (a19) = a+18d = 5 + 18x3 = 5 + 54 = 59

17. If the 2nd term of an AP is 8 and the 5thterm is 17, find its 19th term. [CBSE 2016]18The 4th te

Answer»

2nd term Second term (a2) = 8fifth term (a5) = 17

we know that general formula of a term in ap is a+(n-1)dtherefore, a2=a+d 8=a+da5=a+4d 17=a+4d

solving the two equations simultaneously....we get....d=3therefore, a=5

thus the 19th term (a19) = a+18d = 5 + 18x3 = 5 + 54 = 59