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3 years ago

SEQUENCES AND SERIES

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

$a_n=a_1+(d-1)$

and for geometric sequence is

$a_n=a1*r^(n-1)$

So,

According to given conditions

$a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)$

By dividing equation (i) and (ii)

Hence proved that

$r^2=a+19d/a+7d$

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3 years ago

Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da

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2 years ago

What is the answer to 2x + 4 = x + 10

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Step-by-step explanation:

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Find the following when a = -1, b = 2, c = -1/4<br> (4b - 3)/(2a) -1

Katena32 [7]

We substitute the given into the equation
given: a=-1, b=2, c= $\frac{-1}{4}$
=( $\frac{4b-3}{2a}$ -1
= $\frac{4(2)-3}{2(-1)}$ -1
= $\frac{8-3}{-2}$ -1
= $\frac{5}{-2}$ -1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
$\frac{5}{-2}$ =-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
= $\frac{5}{-2}$ $\frac{-1}{1}$ × $\frac{-2}{-2}$ (denominator should be -2=common)
= $\frac{5}{-2}$ + $\frac{2}{-2}$
= $\frac{7}{-2}$
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3 years ago