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1)The 8th triangular number is 36
The 9th triangular number is 45
Hence, their sum=36+45= 81
Clearly 81. is square of 9.
2)The 13th triangular number is 91
The 14th triangular number is 105
Hence, their sum=91+105=196
Clearly 196 is square of 14
The 9th triangular number is 45
Hence, their sum=36+45= 81
Clearly 81. is square of 9.
2)The 13th triangular number is 91
The 14th triangular number is 105
Hence, their sum=91+105=196
Clearly 196 is square of 14
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1.
For 8 th = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
For 9th = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Now add both 36 and 45 = 36 + 45 = 81
Its square number of 9
2.
for 13 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 = 91
For 14 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 = 105
Now add both = 91 + 105 = 196
Its square number of 14
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