The first four terms in a sequence of numbers are given below. T = T2 42 +3 = 19 T 62 +1 = 37 T4 82 1= 63 22 +5 = 9 %3D %3D %3D (d) T and TK+1 are consecutives terms on the sequence. Find and simplify an expression, in term of k, for T+1-T. (e) Explain why two consecutive terms of the sequence cannot have

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[Number Patterns]
The first four terms in a sequence of numbers are given below.
T = 22 +5 9
T2 = 42 +3 = 19
T3 62 + 1 = 37
T 82-1%= 63
%3D
%3D
%3D
(d) T and TK+1 are consecutives terms on the sequence.
Find and simplify an expression, in term of k, for Tk+1-TK.
(e) Explain why two consecutive terms of the sequence cannot have a
difference of 6.
Transcribed Image Text:[Number Patterns] The first four terms in a sequence of numbers are given below. T = 22 +5 9 T2 = 42 +3 = 19 T3 62 + 1 = 37 T 82-1%= 63 %3D %3D %3D (d) T and TK+1 are consecutives terms on the sequence. Find and simplify an expression, in term of k, for Tk+1-TK. (e) Explain why two consecutive terms of the sequence cannot have a difference of 6.
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