Question

can the sum of any two terms of the AS 8, 14, 20.... be again the term of the sequence. justify​

Answer 1

Step-by-step explanation:

here a = 8 and d = 6

so any term can be written in the form of 8 + 6n

if u add two terms it will be (8 + 6n1) + (8+6n2) that is 16 + 6k where k is n1 + n2 which does not come in this series...so sum of two terms cant be the term of the sequence..

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Answer 2

Yes it is possible that sum of terms till nth term could be same

For example - -5, -3, -1, 1, 3, 5, . . .

here S0 (pronounce it as S zero) means sum till 0 terms is Zero, while S6 means sum till 6 terms is also Zero

But here it is not possible (in the above series)