a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). the number of elements (possibly infinite) is called the length of the sequence.
Ok... we take the difference between each terminal this their constant
-5
so this is very much like the "-5 times table".
if it was the -5 times table, it would have nth term "-5n" and would go like this:
-5 -10 -15 -20 -25
but the sequence we have starts at 40. all the terms are 45 too big actually.
we can cater for that easily by adding 45 to our guess of "-5 times table".
-5n + 45.
if we want to neaten it up, we can factorize the 5 and write things so the negative isn't at the front:
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Answer:
a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). the number of elements (possibly infinite) is called the length of the sequence.
Ok... we take the difference between each terminal this their constant
-5
so this is very much like the "-5 times table".
if it was the -5 times table, it would have nth term "-5n" and would go like this:
-5 -10 -15 -20 -25
but the sequence we have starts at 40. all the terms are 45 too big actually.
we can cater for that easily by adding 45 to our guess of "-5 times table".
-5n + 45.
if we want to neaten it up, we can factorize the 5 and write things so the negative isn't at the front:
5 (7 - n)