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The only square number that is also a triangular number is 1. This is because square numbers are of the form n^2, while triangular numbers are of the form (n*(n+1))/2. When setting these two equations equal to each other and solving for n, we find that n=1 is the only integer solution. Therefore, 1 is the only number that is both a square number and a triangular number.
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Order the set from least to greatest. The number in the middle, or the mean of the two numbers in the middle, is the median. That is, if S is the set, then for #S = 2n - 1, Sn is the median, while for #S = 2n, (Sn-1 + Sn)/2 is the median.
A series is a special case of a sequence where the n'th term is the sum of n numbers a1, a2, ..., an. In other words, it is a sequence in the form S1 = a1 S2 = a1 + a2 S3 = a1 + a2 + a3 ... Sn = a1 + a2 + ... + an
the formula is: Sn= n [2(A1)+(n - 1)d] 2 for example the given sequence is when A1 = 4 and n = 10 when d = 2 here is the solution: Sn = 4 [2(4)+(10 - 1)2] 2 Sn= 2 [6+(9)(2) Sn = 2 [6+18] Sn = 2 (24) Sn = 48 see?