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sattari [20]
3 years ago
13

In the sequence generated by the formula an=(-1)^n+1(5)^n, which of the following terms has the greatest value? Assume an > 0

.
a. an
b. an+5
c.an+10
d.an+15
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

c a(n+10)

Step-by-step explanation:

[(-1)^(n+1)] × (5^n)

an > 0

a(n+5) = (-1)⁵ × 5^(n+5) < 0

a(n+10) = (-1)¹⁰ × 5^(n+10) > 0

a(n+15) = (-1)¹⁵ × 5^(n+15) < 0

Since a^n is positive, n is even

Odd powers of -1 are negative

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4 0
3 years ago
How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate? how many years
Simora [160]

Answer:

Total interest will $1800 after 5 years.

Step-by-step explanation:

It is given that the principle amount is $6000.

Rate of interest rate is 6% per annum.

Total interest is $1800.

Formula for simple interest is

I=\frac{P\times r\times t}{100}

Where, P is principle, r is rate of interest in percent and t is time in years.

Substitute P=6000, r=6 and I=1800 in the above formula.

1800=\frac{6000\times 6\times t}{100}

1800=\frac{36000t}{100}

1800=360t

Divide both sides by 360.

\frac{1800}{360}=t

5=t

Therefore the total interest will $1800 after 5 years.

3 0
3 years ago
Read 2 more answers
GIVING BRAINLIEST <br><br> SOLVE USING FACTORING <br><br> (8x^2 - 4x^2-3x+1)-(1-5x^2+ x)
irina1246 [14]

Answer:

4r to the power of 2 - 3r +1

3 0
3 years ago
Simplify 2x + x<br> o 2x2<br> 3x<br> O 3x²
DochEvi [55]

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • 2 = 4  

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   3 .

     -4    +    -1    =    -5  

     -2    +    -2    =    -4  

     -1    +    -4    =    -5  

     1    +    4    =    5  

     2    +    2    =    4  

     4    +    1    =    5  

Observation : No two such factors can be found !!

4 0
3 years ago
Yo which set or sets does the Number 37 belong?
Tresset [83]
It is a whole number
3 0
4 years ago
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