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Find the nth term of this sequence:

8 15 22 29 36

smiley

 Dec 10, 2015

Best Answer 

 #3
avatar+23301 
+10

Find the nth term of this sequence:  8 15 22 29 36

 

\(\begin{array}{lcrrcl} a_0 &=& 1 & & &=& 1+0\cdot 7 \\ && &+7& \\ a_1 &=& 8 & & &=& 1+1\cdot 7 \\ && &+7& \\ a_2 &=& 15 & & &=& 1+2\cdot 7 \\ && &+7& \\ a_3 &=& 22 & & &=& 1+3\cdot 7 \\ && &+7& \\ a_4 &=& 29 & & &=& 1+4\cdot 7 \\ && &+7& \\ a_5 &=& 36 & & &=& 1+5\cdot 7 \\ \dots \\ \mathbf{a_n} && & & &\mathbf{=}& \mathbf{1+n\cdot 7} \\ \end{array}\)

 

laugh

 Dec 10, 2015
 #1
avatar+104793 
+10

The nth term is given by :

 

an = a1 + d(n - 1)   =  8 + 7(n - 1)

 

 

 

cool cool cool

 Dec 10, 2015
 #2
avatar
+10

Hallo guest

laugh

 Dec 10, 2015
 #3
avatar+23301 
+10
Best Answer

Find the nth term of this sequence:  8 15 22 29 36

 

\(\begin{array}{lcrrcl} a_0 &=& 1 & & &=& 1+0\cdot 7 \\ && &+7& \\ a_1 &=& 8 & & &=& 1+1\cdot 7 \\ && &+7& \\ a_2 &=& 15 & & &=& 1+2\cdot 7 \\ && &+7& \\ a_3 &=& 22 & & &=& 1+3\cdot 7 \\ && &+7& \\ a_4 &=& 29 & & &=& 1+4\cdot 7 \\ && &+7& \\ a_5 &=& 36 & & &=& 1+5\cdot 7 \\ \dots \\ \mathbf{a_n} && & & &\mathbf{=}& \mathbf{1+n\cdot 7} \\ \end{array}\)

 

laugh

heureka Dec 10, 2015

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