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Write algebra of the sum of the sequence 6n + 5. Can the sum 2000 ? Why?

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Write algebra of the sum of the sequence 6n + 5. Can the sum 2000 ? Why?

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nth term = 6n + 5

1st term = 6 + 5 = 11

Sum of n terms = n/2 (11 + 6n + 5) = n/2 (6n + 16) = n(3n + 8) = 3n2 + 8n

To check wheater the sum is 2000 3n2 + 8n = 2000

i.e., 3n2 + 8n – 2000 = 0

It is not a natural number. So 2000 will not be a sum.

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