The sum of first 20 and first 50 terms of an ap is 420 and 2550
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The A.P is: 2, 4, 6, 8,.......
Step-by-step explanation:
Let the first term = a
and, Common difference = d
For finding the nth term, we use formula
Sₙ = n ÷ 2 [2a + (n - 1) d ]
where, Sₙ = Sum of nth term
a = First term
n = number of term
d = difference
thus, we get equations,
420 = 10 [ 2a + 19d]
and 2550 = 25 [ 2a + 49d]
Solving both equation. We get,
a = 2 and d = 2
Thus, the A.P is: 2, 4, 6, 8,.......
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