Complete the series
1 , 9 , 25 ,
36 , 54 , 72 ,
2 , 6 , 24 ,120 , _
6 , 18 , 36 , 54 , _

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Solution

Dear student

1, 9, 25, 49

1²
3²
5²
7^{2

36, 54, 72, 90

Keep adding 18 to each number.

2, 6, 24, 120, 720
2× 3 =6
6×4 = 24
24 × 5 = 120
120× 6=720

6, 18, 36, 54, 72
6 ×3 =18
6 × 6 = 36
6 × 9 = 54
6 ×12 =72

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36, 24, 15, 9, 6, ?

$36 a^{2} - 81 c a n b e f a c t o r i z e d a s$ ______.

cos (36^{o} - A) cos (36^{o} + A) + cos (54^{o} + A) cos (54^{o} - A)

\frac{16}{24} = \frac{4}{□}

\frac{28}{36} = \frac{- 7}{□}

\frac{18}{54} = \frac{□}{6}

\frac{- 21}{36} = \frac{□}{4}

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