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Mathematics 21 Online
OpenStudy (anonymous):

i need help i cant find this answer if the first differences of a sequence are a constant 4 and the second term is 8, find the first five terms of the sequence

hero (hero):

I'm pretty sure all you need to do is apply the formula

OpenStudy (anonymous):

The first differences are the differences between each term in the original sequence. When the first differences are constant the series is of the form (d*n+k), where d is the difference (here 4), n is the number of the term and k is some constant that needs to be determine using the data supplied in the problem. So accordingly the series is of the form\[4*n+k\]Since the second term is 8, plug n=2 in the above expression and equate the result to 8\[4*2+k = 8\]Find the value of k from this equation. Plug it in (4*n+k) and for the first five terms put n=1for the first term, n=2 for the second term and so forth and find each term till n=5.

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