Find the sum of first 20 terms of an AP whose first term is 3 and last term is 57
Answers
Answered by
35
a=3
a+(n-1)d=57
(n-1)d=54
S20=10 [2a+(n-1)d]=10 (6+54)=10*60=600
a+(n-1)d=57
(n-1)d=54
S20=10 [2a+(n-1)d]=10 (6+54)=10*60=600
Answered by
2
Answer:
The answer is 600
Step-by-step explanation:
a=3
n=20
last term = 57
d =??
since, tn = a+(n-1)d
=> 57 = 3 + (n-1)d
=> 57 - 3 = (n-1)d
=>54 = (n-1)d
therefore, Sn = n/2 [2a + (n-1) d ]
=> Sn = 20/2 [2×3 + 54 ] since (n-1)d = 54
=> Sn = 10 [6+54]
=> Sn = 10 × 60
=> Sn = 600 (ans.)
hope it will help uhhh
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