(7) Prove that the sum of any number of terms of the arithmetic sequence 16,24,32, ... starting from the first, added to 9 gives a perfect square, 35
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16,24,32is uor answer her ohclhdkhe
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Step-by-step explanation:
arithmetic sequence = 8n + 8
Sum of n terms = [16+ 8 + 8] × n/2 = (24+ 8 n) × n/2 = 12 + 4n²
Sum after adding 9 with nth term = 4n² + 12n + 9 = (2n + - 3)²
Hence it is a perfect square
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