What is the 8th term of the sequence 10, 40, 90, 160,...?
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What is the 8th term of the sequence 10, 40, 90, 160,...?
670
660
640
620
The sequence is 10(1^2), 10(2^2), 10(3^2), 10(4^2). The n-th term is 10*n^2. The 8th term is 10*(8^2) = 10*64 = 640.
The terms follow the formula 10n^2, where n is the position of the term. To find the 8th term, substitute n = 8 into the formula. This yields 10 times 8 squared, resulting in 10(64), which equals 640.