find next four term of series Sn=2n(2n-1)
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Given ,
Sn= 2n (2n-1)
Put n=1,2,3,4 respectively. Then
S1 = 2 (2-1) = 2
S2= 4 (4-1) = 12
S3= 6 (6-1) = 30
S4= 8 (8-1) = 56
Hence 2,12,30,56 are next four terms.
Sn= 2n (2n-1)
Put n=1,2,3,4 respectively. Then
S1 = 2 (2-1) = 2
S2= 4 (4-1) = 12
S3= 6 (6-1) = 30
S4= 8 (8-1) = 56
Hence 2,12,30,56 are next four terms.
samson453:
no.put the values 1,2,3,4 abd give step by step
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Answer:
Step-by-step explanation:
Given that,
Sn= 2n (2n-1).......(1)
Then the next four term are-
Sn+1, Sn+2, Sn+3 and Sn+4
put n = n+1 , we get,
Sn+1 = 2(n+1) (2n+2-1) = (2n+2) (2n+1)
similarly put n = n+2 we get,
Sn+2= (2n+4) (2n+3)
similarly put n = n+3 we get,
Sn+3= (2n+6) (2n+5)
and similarly put n = n+4 we get,
Sn+4= (2n+8) (2n+7)
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