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Ethan started creating the following pattern using blue square blocks(1,3,9,27). How many blue squares will she need for the 8th step of the sequence?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
Jessie started creating the following pattern using red square blocks(1,3,5,7,9). How many red squares will she need for the 12th step of the sequence?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
4, 10, 16, 22 next 3 numbers: , , RULE:________________________
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
4,12,36,108 What is the RECURSIVE definition?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
4,12,36,108 What is the 21 term or t21?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
5,8,11,14 What is the a33 or the 33rd term?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
5,8,11,14 What is the RECURSIVE DEFINITION?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
4,12,36,108 What is the EXPLICIT definition?
1.39 x 10^10
an = (an-1) + 3 or an+1= an +3
101
2187
23
an = 3(an-1) or an+1 = 3(an)
an = 4(3)^n-1
28,34,40 an = (an-1) + 6 or an+1 = an + 6
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Match it!