please ans this question
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Step-by-step explanation:
Given sequence => 3 , 15 , 27 , 39 , ...
Here t1 = a = 3
t2 = 15
d = t2 - t1 = 15 - 3 = 12
We know that
tn = a + ( n - 1 ) d
t54 + 132 = 3 + ( n - 1 )12
3 + ( 54 - 1 ) 12 + 132 = 3 + ( n - 1 ) 12
3 + 53 × 12 + 132 = 3 + 12n - 12
12n = 53 × 12 + 132 + 12
12n = 12 ( 53 + 11 + 1 )
n = 53 + 11 + 1
n = 65
The answer is 65 .
THANKS!!!
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