3 years ago

Rewrite each expression as a single power?

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

(90)^4

Step-by-step explanation:

9^4 * 10^4

We know that when the power are the same, but the bases are different

a^b * c^b = (ab)^m

(9*10)^4

(90)^4

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Step-by-step explanation:

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2 years ago

A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown i

Dennis_Churaev [7]

Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on

The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.

In function notation, the sequence is
$f_{n+1} = 6 + 5n, \\ \, n=0,1,2, \, ...,$

This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.

Answer:
The sequence is $f_{n+1} = 6 + 5n, \,\, n=0,1,2, \, ...,$
The slope is 5.