J's answer to Cindy's Secondary 1 Maths Singapore question.
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4374 ÷ (-3) = -1458
So 4374 = -1458 × (-3)
-1458 ÷ (-3) = 1458 ÷ 3 = 486
So -1458 = 486 × (-3)
486 ÷ (-3) = -162
So 486 = -162 × (-3)
-162 ÷ (-3) = 162 ÷ 3 = 54
So -162 = 54 × (-3)
①The previous term is always -3 × the current term.
The previous term is divided by -3 to get the current term.
The current term is -⅓ × the previous term.
Or
②The subsequent term is -⅓ × the current term.
The current term is divided by -3 to get the subsequent term.
The current term is always -3 × the next term.
Overall this is is represented by the following :
Tn = -3T(n+1)
Or
T(n+1) = -⅓Tn
So 4374 = -1458 × (-3)
-1458 ÷ (-3) = 1458 ÷ 3 = 486
So -1458 = 486 × (-3)
486 ÷ (-3) = -162
So 486 = -162 × (-3)
-162 ÷ (-3) = 162 ÷ 3 = 54
So -162 = 54 × (-3)
①The previous term is always -3 × the current term.
The previous term is divided by -3 to get the current term.
The current term is -⅓ × the previous term.
Or
②The subsequent term is -⅓ × the current term.
The current term is divided by -3 to get the subsequent term.
The current term is always -3 × the next term.
Overall this is is represented by the following :
Tn = -3T(n+1)
Or
T(n+1) = -⅓Tn
Date Posted:
4 years ago
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