Mathematics: Determine the fourth term of the sequence defined by the formula: t1=2a t2=3a−1 tn = 2tn−1−3tn−2+1,n ≥ 3 1 −9a+2 -1 −5a+4

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Determine the fourth term of the sequence defined

catwomn

11.01.2022

B. -9a+2

Step-by-step explanation:

You are given the sequence

$t_1=2a,\\ \\t_2=3a-1,\dots\\ \\t_n=2t_{n-1}-3t_{n-2}+1,\ n\ge 3$

According to the given rule, find $t_3,\ n=3$

$t_3=2t_2-3t_1+1=2\cdot (3a-1)-3\cdot 2a+1=6a-2-6a+1=-1$

and $t_4,\ n=4$

$t_4=2t_3-3t_2+1=2\cdot (-1)-3(3a-1)+1=-2-9a+3+1=-9a+2$

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gildedav001

29.06.2022

Step-by-step explanation:

Did the test. Got i right

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