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3 years ago

How does 3^ + 3^+1 = 3^ + 3×3?? Please help me!!

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

3^n + 3^{n+1} = 3^n + 3×3^n

When you have for example: 3²×3³ then you have:

(3×3)×(3×3×3) = 3×3×3×3×3 = 3⁵ which is 3²⁺³

It works with any exponents, so:

if 3²⁺³ = 3²×3³ then 3ⁿ⁺¹ = 3ⁿ×3¹ = 3ⁿ×3 = 3×3ⁿ

and so:

3ⁿ + 3ⁿ⁺¹ = 3ⁿ + 3×3ⁿ

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