Jasper Eng's answer to sarah's Secondary 1 Maths Singapore question.
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A) let x be the difference in terms:
41 - 13 = 4x (4 gaps)
4x = 28
x = 7
:. P = 41 - 7 = 34
Q = 34 - 7 = 27
R = 27 - 7 = 20 //
B) 0th term: 41 + 7 = 48
:. Nth term: 48 - 7n //
C) assume -201 is a term:
Then -201 = 48 - 7n
7n = 48 + 201
7n = 249
n = 249/7 = 35.5 (Not an integer**)
:. -201 is not a term //
D) take the next term or any:
13 - 7 = 6 //
E) 8th term:
48 - 7(8) = -8
9th term:
48 - 7(9) = -15
:. The sum of both term
= -1/8 + (-1/15)
= -15/120 - 8/120
= -23/120 //
41 - 13 = 4x (4 gaps)
4x = 28
x = 7
:. P = 41 - 7 = 34
Q = 34 - 7 = 27
R = 27 - 7 = 20 //
B) 0th term: 41 + 7 = 48
:. Nth term: 48 - 7n //
C) assume -201 is a term:
Then -201 = 48 - 7n
7n = 48 + 201
7n = 249
n = 249/7 = 35.5 (Not an integer**)
:. -201 is not a term //
D) take the next term or any:
13 - 7 = 6 //
E) 8th term:
48 - 7(8) = -8
9th term:
48 - 7(9) = -15
:. The sum of both term
= -1/8 + (-1/15)
= -15/120 - 8/120
= -23/120 //
Date Posted:
3 years ago