Find the sum to n term of an ap 5 2 -1 -4 -7
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Step-by-step explanation:
Given A.P is
5,2,−1,−4,−7,...…..
number of terms of A.P is n
first term of this A.P is A1 = 5
second term of this ap a2 = 2
common difference (d) = a2-a1 = -3
we know that sum of n term of an A.P is given by
Sn = n/2 [ 2a + (n-1) d]
= n/2 [ 2×5 + (n-1) × -3]
= n/2 [ 10 -3n +3 ]
hence the sum of n terms of given A.P is .
Sn = n/2 [ 10-3n+3]
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given a p is equal to 5,2, - 1 ,- 4, - 7
a=5
d 2 - 5=-3
n term A + (n-1) d
SN = 12[2a+(n-1)d)
n12 [2(5)+(n-1)(-3)]
n/2[10-3n+3]
13n-3n^2/2
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