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Find an expression for the n-th term (t_(n)) in each sequence.

A). 1,(1)/(2),(1)/(3),(1)/(4),(1)/(5),(1)/(6),...

B). 3,9,15,21,27,....

1 Answer

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Answer:

A) (1)/(7)

B) 33

Explanation:

For (A), the sequence follows in 1 divided by numbers in a consecutive order, therefore after (1)/(6), the next term is (1)/(7)

For(B), the sequence follows in multiples of three but skips one in between

Example: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36...

In the sequence, 6, 12, 18 and 24 are skipped, meaning that the next number to be skipped is 30, hence 33 is the next number in the sequence.

Because all the numbers in the sequence are odd numbers we can say that the sequence follows in odd consecutive numbers which are multiples of 3.

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