Find the 60th term of ap 8 10 12
Asked by admin @ in Math viewed by 298 People
find the 60th term of the AP 8,10,12,if it has a total of 60 terms and hence find the sum of its last ten terms?
Answered by admin @
A.P. 8 , 10 , 12, ...
First term = a = 8
Common difference = d = 10 - 8 = 12 - 10 = 2
Formula of nth term of A.P Tn = a + ( n - 1 ) d
Using formula
60th term of given A.P.
T60 = 8 + ( 60 - 1 ) 2 = 8 + 59 × 2 = 8 + 118 = 126
Sum of first n terms of an AP =
Sn = n2[2a+(n−1)d]
Using formula
S60 = 602[2×8+(60−1)×2]
= 4020
Similarly
S50 = 502[2×8+(50−1)×2]
= 2850
Sum of last 10 terms
= S60 − S50
= 4020 – 2850
= 1170
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