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An AP 5,12,19.has 50 terms. Find its last term. Hence find the sum of last 15 terms .?
Most Upvoted Answer
An AP 5,12,19.has 50 terms. Find its last term. Hence find the sum of ...
Solution :-
a = 5
d = 12 - 5 = 7
n = 50
an = a + (n - 1)d
an = 5 + (50 - 1)7
an = 5 + 49*7
an = 5 + 343
an = 348
Sum of the last 25 terms -
a = 348, d = - 7, n = 15
Sn = n/2[2a + (n - 1)d]
Sn = 15/2[2*348 + (15- 1) - 7]
Sn = 7.5[696 + (14 X - 7)]
Sn = 7.5[696 - 98]
Sn =  7.5*598
Sn = 4485
Sum of the last 15 term is 4485

Community Answer
An AP 5,12,19.has 50 terms. Find its last term. Hence find the sum of ...
A1=5,
d=12-5=7,
n=50,
a50=a+(n-1)d,
=5+(49)7=5+343=348,
a15=5+14(7)=5+98=103,
s15=15/2(5+103)
=15/2(108),
=15×54=810
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An AP 5,12,19.has 50 terms. Find its last term. Hence find the sum of last 15 terms .?
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