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Sequences and Series

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198
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A sequence is defined by Determine t₃₄₅.

May 19, 2022

#1
+26340
+4

A sequence is defined by

$$\begin{array}{|rcll|} \hline t_{345} &=& 2 &\quad 345 = 4*86+1 \\ \hline \end{array}$$

May 19, 2022
#2
+172
+1

Thank you. Just for clarification, is there a reason why it's 2 and not the others? Does it have something to do with the decimals?

DumbDude05  May 22, 2022
#3
+118477
+1

Thanks Heureka,

you are asked for tn  when n = 345

n is a function of k where k is 0 or a positive integer.

in this case k = the floor (whole part) of  345/4

345/4 = 86 with 1 left over.

k is 86 and 1 is left over

So

n=4k+1

so tn = 2

think about it and I think you will understand.

Melody  May 24, 2022