JA
Write a formula or formulae for the nth term for each of the following
sequences
(b) 1,0,1,0,1,0,.....
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Step-by-step explanation:
It is possible to determine a formula for linear sequences, i.e. sequences where the difference between successive terms is always the same.
The first differences for the number pattern
11 14 17 20 23 26 ...
are 3 3 3 3 3
If we look at the sequence 3n, i.e. the multiples of 3, and compare it with our original sequence
our sequence 11 14 17 20 23 26
sequence 3n 3 6 9 12 15 18
we can see easily that the formula that generates our number pattern is
nth term of sequence = 3n + 8
i.e. un = 3n + 8
If, however, we had started with the sequence
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