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Lapatulllka [165]
3 years ago
5

-6c^3(13c^4)xxxxxxxxxxxxxxc​

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

-78c^7

Step-by-step explanation:

-6c^3(13c^4)

  • If we use the exponential product rule, then we can add these two exponents together. Using these rules, you can add exponents together when multiplying two values, or you can subtract two exponents when dividing two values. I'll show them below.
  1. a^b*a^c=a^b^+^c
  2. \frac{a^b}{a^c}=a^b^-^c

-6(13c^3^+^4)

  • Now we combine the rest together like a normal problem and add the exponents.

-78c^7

  • This is our final answer.

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Answer:

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Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

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