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Mathematics, 16.10.2020 01:01 jordantay208

VI. (1 + 3)3¹ + (2 + 3)3² + (3+3)3³ + ... + (n + 3)3^n =3/4[3^n(2n+5)-5]
Use mathematical induction to :
1. Prove that 6 is a factor of n(n + 1)(12 + 2)
2. Show that 24 1 - 1 is divisible by 15
3. Prove that 3^n- 2n is divisible by 4

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VI. (1 + 3)3¹ + (2 + 3)3² + (3+3)3³ + ... + (n + 3)3^n =3/4[3^n(2n+5)-5]
Use mathematical indu...
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