# then 9tm+1 isalso triangular.Write each of the following numbers as the sum ofthree or fewer triangular numbers:169,(b)(c) 185,(a) 56,(d) 287.5. For n1, establish the formula(2n+1)?1(4t,+1)-(4t,2BUS6Verify that 1225 and 41,616 are simultaneously squareand triangular numbers. [Hint: Finding an integer nsuch thatgtinidmoubonincb ofnon(n + 1)dutn12252udis equivalent to solving the quadratic equationn2n- 2450 = 0.]*w7. An oblong number counts the number of dots in arectangular array having one more row than it hascolumns; the first few of these numbers aresln01 202 6 03 1204 =20and in general, the nth oblong number is given byОnn(n+1). Prove algebraically and geometricallythat(а)On 2+4 6+ + 2n.Any oblong number is the sum of two equal11(): :

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Step 1

Problem 6:

Recall the following facts.

Step 2

Verify 1225 is simultaneously square an...

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