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Sum of first n terms of an arithametic sequence is 8n^2+5n.a)find the sum of first 20 terms? b)write the algebraic expression of the sequence? friends can you please answer this question by step by step. |
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Answer» Answer: a)3300 b)16n-3 Step-by-step explanation: First... S(n)=8n^2+5n thus, S(20)=3300 Second... (b)S(n)=8n^2+5n thus, S(1)=13=first term of the SEQUENCE S(2)=42 , the second term is (42-13)=16 because S(2) signifies SUM of first 2 terms of the given sequence; thus the common difference is (29-13)=16 thus we GOT a=13, d=16 hence the nth term as PER (b) is 13+(n-1)*16 which is further simplified into 16n-3 |
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